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MCQOPTIONS
This section includes 8666 Mcqs, each offering curated multiple-choice questions to sharpen your Joint Entrance Exam - Main (JEE Main) knowledge and support exam preparation. Choose a topic below to get started.
| 4801. |
\[\int_{{}}^{{}}{\sec x\ dx=}\] [MP PET 1988, 95; RPET 1996] |
| A. | \[\log \tan \left( \frac{\pi }{8}+\frac{x}{2} \right)+c\] |
| B. | \[-\log (\sec x-\tan x)+c\] |
| C. | \[\log (\sec x-\tan x)+c\] |
| D. | None of these |
| Answer» C. \[\log (\sec x-\tan x)+c\] | |
| 4802. |
\[\int_{{}}^{{}}{\frac{{{x}^{4}}+{{x}^{2}}+1}{{{x}^{2}}-x+1}\ dx=}\] |
| A. | \[\frac{1}{3}{{x}^{3}}+\frac{1}{2}{{x}^{2}}+x+c\] |
| B. | \[\frac{1}{3}{{x}^{3}}-\frac{1}{2}{{x}^{2}}+x+c\] |
| C. | \[\frac{1}{3}{{x}^{3}}+\frac{1}{2}{{x}^{2}}-x+c\] |
| D. | None of these |
| Answer» B. \[\frac{1}{3}{{x}^{3}}-\frac{1}{2}{{x}^{2}}+x+c\] | |
| 4803. |
\[\int_{{}}^{{}}{\frac{{{e}^{5\log x}}-{{e}^{4\log x}}}{{{e}^{3\log x}}-{{e}^{2\log x}}}\ dx=}\] [MNR 1985] |
| A. | \[e\ .\ {{3}^{-3x}}+c\] |
| B. | \[{{e}^{3}}\log x+c\] |
| C. | \[\frac{{{x}^{3}}}{3}+c\] |
| D. | None of these |
| Answer» D. None of these | |
| 4804. |
The value of \[\int_{{}}^{{}}{\cot x\ dx}\] is [RPET 1995] |
| A. | \[\log \cos x+c\] |
| B. | \[\log \tan x+c\] |
| C. | \[\log \sin x+c\] |
| D. | \[\log \sec x+c\] |
| Answer» D. \[\log \sec x+c\] | |
| 4805. |
\[\int_{{}}^{{}}{{{a}^{x}}\ da=}\] [MP PET 1994, 96] |
| A. | \[\frac{{{a}^{x}}}{{{\log }_{e}}a}+c\] |
| B. | \[{{a}^{x}}{{\log }_{e}}a+c\] |
| C. | \[\frac{{{a}^{x+1}}}{x+1}+c\] |
| D. | \[x{{a}^{x-1}}+c\] |
| Answer» D. \[x{{a}^{x-1}}+c\] | |
| 4806. |
\[\int_{{}}^{{}}{\frac{1-\tan x}{1+\tan x}\ dx=}\] [MP PET 1994] |
| A. | \[\log \sec \left( \frac{\pi }{4}-x \right)+c\] |
| B. | \[\log \cos \left( \frac{\pi }{4}+x \right)+c\] |
| C. | \[\log \sin \left( \frac{\pi }{4}+x \right)+c\] |
| D. | None of these |
| Answer» D. None of these | |
| 4807. |
\[\int_{{}}^{{}}{\frac{dx}{\sqrt{1+x}+\sqrt{x}}=}\] |
| A. | \[\frac{2}{3}{{(1+x)}^{2/3}}-\frac{2}{3}{{x}^{2/3}}+c\] |
| B. | \[\frac{3}{2}{{(1+x)}^{2/3}}+\frac{3}{2}{{x}^{2/3}}+c\] |
| C. | \[\frac{3}{2}{{(1+x)}^{3/2}}+\frac{3}{2}{{x}^{3/2}}+c\] |
| D. | \[\frac{2}{3}{{(1+x)}^{3/2}}-\frac{2}{3}{{x}^{3/2}}+c\] |
| Answer» E. | |
| 4808. |
\[\int_{{}}^{{}}{({{e}^{a\log x}}+{{e}^{x\log a}})dx}=\] |
| A. | \[{{x}^{a+1}}+\frac{{{a}^{x}}}{\log a}+c\] |
| B. | \[\frac{{{x}^{a+1}}}{a+1}+{{a}^{x}}\log a+c\] |
| C. | \[\frac{{{x}^{a+1}}}{a+1}+\frac{{{a}^{x}}}{\log a}+c\] |
| D. | None of these |
| Answer» D. None of these | |
| 4809. |
If \[f'(x)=\frac{1}{x}+x\] and \[f(1)=\frac{5}{2}\], then \[f(x)=\] |
| A. | \[\log x+\frac{{{x}^{2}}}{2}+2\] |
| B. | \[\log x+\frac{{{x}^{2}}}{2}+1\] |
| C. | \[\log x-\frac{{{x}^{2}}}{2}+2\] |
| D. | \[\log x-\frac{{{x}^{2}}}{2}+1\] |
| Answer» B. \[\log x+\frac{{{x}^{2}}}{2}+1\] | |
| 4810. |
\[\int_{{}}^{{}}{(3\,\text{cose}{{\text{c}}^{2}}x+2\sin 3x)\ dx=}\] [AI CBSE 1981] |
| A. | \[3\cot x+\frac{2}{3}\cos 3x+c\] |
| B. | \[-\left( 3\cot x+\frac{2}{3}\cos 3x \right)+c\] |
| C. | \[3\cot x-\frac{2}{3}\cos 3x+c\] |
| D. | None of these |
| Answer» C. \[3\cot x-\frac{2}{3}\cos 3x+c\] | |
| 4811. |
\[\int_{{}}^{{}}{\frac{2x}{{{(2x+1)}^{2}}}dx=}\] [DSSE 1985] |
| A. | \[\frac{1}{2}\log (2x+1)+\frac{1}{2(2x+1)}+c\] |
| B. | \[\frac{1}{2}\log (2x+1)-\frac{1}{2(2x+1)}+c\] |
| C. | \[2\log (2x+1)+\frac{1}{2(2x+1)}+c\] |
| D. | \[2\log (2x+1)-\frac{1}{2(2x+1)}+c\] |
| Answer» B. \[\frac{1}{2}\log (2x+1)-\frac{1}{2(2x+1)}+c\] | |
| 4812. |
\[\int_{{}}^{{}}{{{\{1+2\tan x(\tan x+\sec x)\}}^{1/2}}dx=}\] [Roorkee 1987] |
| A. | \[\log (\sec x+\tan x)+c\] |
| B. | \[\log {{(\sec x+\tan x)}^{1/2}}+c\] |
| C. | \[\log \sec x(\sec x+\tan x)+c\] |
| D. | None of these |
| Answer» D. None of these | |
| 4813. |
\[\int_{{}}^{{}}{\frac{1}{\sqrt{1+\sin x}}dx}=\] [RPET 1996] |
| A. | \[2\sqrt{2}\log \tan \left( \frac{\pi }{8}+\frac{x}{4} \right)+c\] |
| B. | \[\frac{1}{\sqrt{2}}\log \tan \left( \frac{\pi }{8}+\frac{x}{4} \right)+c\] |
| C. | \[\sqrt{2}\log \tan \left( \frac{\pi }{8}+\frac{x}{4} \right)+c\] |
| D. | \[\frac{1}{2\sqrt{2}}\log \tan \left( \frac{\pi }{8}+\frac{x}{4} \right)+c\] |
| Answer» D. \[\frac{1}{2\sqrt{2}}\log \tan \left( \frac{\pi }{8}+\frac{x}{4} \right)+c\] | |
| 4814. |
\[\int_{{}}^{{}}{{{(\tan x-\cot x)}^{2}}\ dx=}\] |
| A. | \[\tan x+\cot x+c\] |
| B. | \[\sec x\tan x+c\] |
| C. | \[\cos \text{ec}x\cot x+c\] |
| D. | None of these |
| Answer» E. | |
| 4815. |
\[\int_{{}}^{{}}{\frac{\sin x+\text{cosec}\,x}{\tan x}dx=}\] |
| A. | \[\sin x-\text{cosec}\,x+c\] |
| B. | \[\text{cosec}\,x-\sin x+c\] |
| C. | \[\log \tan x+c\] |
| D. | \[\log \cot x+c\] |
| Answer» B. \[\text{cosec}\,x-\sin x+c\] | |
| 4816. |
If \[\int_{{}}^{{}}{\frac{f(x)\ dx}{\log \sin x}=\log \log \sin x}\], then \[f(x)=\] |
| A. | \[\sin x\] |
| B. | \[\cos x\] |
| C. | \[\log \sin x\] |
| D. | \[\cot x\] |
| Answer» E. | |
| 4817. |
\[\int_{{}}^{{}}{\frac{\sin 3x}{\sin x}\ dx=}\] |
| A. | \[x+\sin 2x+c\] |
| B. | \[3x+\sin 2x+c\] |
| C. | \[3x+{{\sin }^{2}}x+c\] |
| D. | None of these |
| Answer» B. \[3x+\sin 2x+c\] | |
| 4818. |
\[\int_{{}}^{{}}{\frac{dx}{4{{\cos }^{3}}2x-3\cos 2x}}=\] |
| A. | \[\frac{1}{3}\log [\sec 6x+\tan 6x]+c\] |
| B. | \[\frac{1}{6}\log [\sec 6x+\tan 6x]+c\] |
| C. | \[\log [\sec 6x+\tan 6x]+c\] |
| D. | None of these |
| Answer» C. \[\log [\sec 6x+\tan 6x]+c\] | |
| 4819. |
\[\int_{{}}^{{}}{\frac{{{x}^{2}}+x-6}{(x-2)(x-1)}dx=}\] |
| A. | \[x+2\log (x-1)+c\] |
| B. | \[2x+2\log (x-1)+c\] |
| C. | \[x+4\log (1-x)+c\] |
| D. | \[x+4\log (x-1)+c\] |
| Answer» E. | |
| 4820. |
\[\int_{{}}^{{}}{\frac{dx}{\sin x+\sqrt{3}\cos x}}=\] |
| A. | \[\log \tan \left( \frac{x}{2}+\frac{\pi }{2} \right)+c\] |
| B. | \[\frac{1}{2}\log \tan \left( \frac{x}{2}+\frac{\pi }{6} \right)+c\] |
| C. | \[\log \cot \left( \frac{x}{2}+\frac{\pi }{6} \right)+c\] |
| D. | \[\frac{1}{2}\log \cot \left( \frac{x}{2}+\frac{\pi }{6} \right)+c\] |
| Answer» C. \[\log \cot \left( \frac{x}{2}+\frac{\pi }{6} \right)+c\] | |
| 4821. |
\[\int_{{}}^{{}}{\frac{a{{x}^{-2}}+b{{x}^{-1}}+c}{{{x}^{-3}}}}\ dx=\] |
| A. | \[2a{{x}^{2}}+3b{{x}^{3}}+4c{{x}^{4}}+k\] |
| B. | \[6a{{x}^{2}}+4b{{x}^{3}}+3c{{x}^{4}}+k\] |
| C. | \[a+b+c{{x}^{2}}+k\] |
| D. | \[\frac{1}{2}a{{x}^{2}}+\frac{1}{3}b{{x}^{3}}+\frac{1}{4}c{{x}^{4}}+k\] |
| Answer» E. | |
| 4822. |
\[\int_{{}}^{{}}{\frac{5({{x}^{6}}+1)}{{{x}^{2}}+1}dx=}\] |
| A. | \[5({{x}^{7}}+x){{\tan }^{-1}}x+c\] |
| B. | \[{{x}^{5}}-\frac{5}{3}{{x}^{3}}+5x+c\] |
| C. | \[3{{x}^{4}}-5{{x}^{2}}+15x+c\] |
| D. | \[5{{\tan }^{-1}}({{x}^{2}}+1)+\log ({{x}^{2}}+1)+c\] |
| Answer» C. \[3{{x}^{4}}-5{{x}^{2}}+15x+c\] | |
| 4823. |
\[\int_{{}}^{{}}{{{\left( \cos \frac{x}{2}-\sin \frac{x}{2} \right)}^{2}}dx=}\] |
| A. | \[x+\cos x+c\] |
| B. | \[2{{\cos }^{2}}\frac{x}{2}+c\] |
| C. | \[\frac{1}{3}{{\left( \cos \frac{x}{2}-\frac{x}{2} \right)}^{3}}+c\] |
| D. | \[x-\cos x+c\] |
| Answer» B. \[2{{\cos }^{2}}\frac{x}{2}+c\] | |
| 4824. |
\[\int_{{}}^{{}}{\frac{\cos 2x+2{{\sin }^{2}}x}{{{\cos }^{2}}x}dx=}\] |
| A. | \[2\sec x+c\] |
| B. | \[2\tan x+c\] |
| C. | \[\tan x+c\] |
| D. | None of these |
| Answer» D. None of these | |
| 4825. |
\[\int_{{}}^{{}}{\frac{{{\sin }^{3}}x+{{\cos }^{3}}x}{{{\sin }^{2}}x{{\cos }^{2}}x}}\ dx=\] |
| A. | \[\tan x+\cot x+c\] |
| B. | \[\tan x-\cot x+c\] |
| C. | \[\text{cosec}\,x-\cot x+c\] |
| D. | \[\sec x-\text{cosec}\,x+c\] |
| Answer» E. | |
| 4826. |
\[\int_{{}}^{{}}{\frac{1}{x\sqrt{{{x}^{2}}-1}}\ dx=}\] [MP PET 1988] |
| A. | \[{{\cos }^{-1}}x+c\] |
| B. | \[{{\sec }^{-1}}x+c\] |
| C. | \[{{\cot }^{-1}}x+c\] |
| D. | \[{{\tan }^{-1}}x+c\] |
| Answer» C. \[{{\cot }^{-1}}x+c\] | |
| 4827. |
\[\int_{{}}^{{}}{{{\sin }^{-1}}}(\cos x)dx=\] |
| A. | \[\frac{\pi x}{2}\] |
| B. | \[\frac{\pi {{x}^{2}}}{2}\] |
| C. | \[\frac{\pi x-{{x}^{2}}}{2}\] |
| D. | \[\frac{\pi x+{{x}^{2}}}{2}\] |
| Answer» D. \[\frac{\pi x+{{x}^{2}}}{2}\] | |
| 4828. |
If \[\int_{{}}^{{}}{\frac{dx}{1+\sin x}=\tan \left( \frac{x}{2}+a \right)+b}\], then [Roorkee 1979] |
| A. | \[a=\frac{\pi }{4},\ b=3\] |
| B. | \[a=-\frac{\pi }{4},\ b=3\] |
| C. | \[a=\frac{\pi }{4},\ b=\]arbitrary constant |
| D. | \[a=-\frac{\pi }{4},\ b=\]arbitrary constant |
| Answer» E. | |
| 4829. |
\[\int_{{}}^{{}}{\frac{3{{x}^{2}}-2\sqrt{x}}{x}}dx=\] [Roorkee 1976] |
| A. | \[{{x}^{3}}-\sqrt{x}+c\] |
| B. | \[{{x}^{3}}+\sqrt{x}+c\] |
| C. | \[{{x}^{3}}-2\sqrt{x}+c\] |
| D. | \[{{x}^{3}}-4\sqrt{x}+c\] |
| Answer» E. | |
| 4830. |
\[\int_{{}}^{{}}{(1+2x+3{{x}^{2}}+4{{x}^{3}}+......)\ dx=}\] |
| A. | \[{{(1+x)}^{-1}}+c\] |
| B. | \[{{(1-x)}^{-1}}+c\] |
| C. | \[{{(1-x)}^{-1}}-1+c\] |
| D. | None of these |
| Answer» C. \[{{(1-x)}^{-1}}-1+c\] | |
| 4831. |
\[\int_{{}}^{{}}{\frac{\text{cosec}\theta -\cot \theta }{\text{cosec}\theta +\cot \theta }}\ d\theta =\] |
| A. | \[2\text{cosec}\theta -2\cot \theta -\theta +c\] |
| B. | \[2\,\text{cosec}\theta -2\cot \theta +\theta +c\] |
| C. | \[2\,\text{cosec}\theta +2\cot \theta -\theta +c\] |
| D. | None of these |
| Answer» B. \[2\,\text{cosec}\theta -2\cot \theta +\theta +c\] | |
| 4832. |
\[\int_{{}}^{{}}{\frac{x-1}{{{(x+1)}^{2}}}\ dx=}\] |
| A. | \[\log (x+1)+\frac{2}{x+1}+c\] |
| B. | \[\log (x+1)-\frac{2}{x+1}+c\] |
| C. | \[\frac{2}{x+1}-\log (x+1)+c\] |
| D. | None of these |
| Answer» B. \[\log (x+1)-\frac{2}{x+1}+c\] | |
| 4833. |
\[\int_{{}}^{{}}{\frac{\sin x+\cos x}{\sqrt{1+\sin 2x}}\ dx=}\] [MP PET 1990] |
| A. | \[\sin x+c\] |
| B. | \[\cos x+c\] |
| C. | \[x+c\] |
| D. | \[{{x}^{2}}+c\] |
| Answer» D. \[{{x}^{2}}+c\] | |
| 4834. |
\[\int_{{}}^{{}}{({{\sin }^{-1}}x+{{\cos }^{-1}}x)\ dx=}\] [MP PET 1990] |
| A. | \[\frac{1}{2}\pi x+c\] |
| B. | \[x({{\sin }^{-1}}x-{{\cos }^{-1}}x)+c\] |
| C. | \[x({{\cos }^{-1}}x+{{\sin }^{-1}}x)+c\] |
| D. | \[\frac{\pi }{2}+x+c\] |
| Answer» B. \[x({{\sin }^{-1}}x-{{\cos }^{-1}}x)+c\] | |
| 4835. |
\[\int_{{}}^{{}}{\sqrt{1+\sin \frac{x}{2}}\ dx=}\] [IIT 1980; MP PET 1989; Pb. CET 2003] |
| A. | \[\frac{1}{4}\left( \cos \frac{x}{4}-\sin \frac{x}{4} \right)+c\] |
| B. | \[4\left( \cos \frac{x}{4}-\sin \frac{x}{4} \right)+c\] |
| C. | \[4\left( \sin \frac{x}{4}-\cos \frac{x}{4} \right)+c\] |
| D. | \[4\left( \sin \frac{x}{4}+\cos \frac{x}{4} \right)+c\] |
| Answer» D. \[4\left( \sin \frac{x}{4}+\cos \frac{x}{4} \right)+c\] | |
| 4836. |
\[\int_{{}}^{{}}{{{\left( x+\frac{1}{x} \right)}^{3}}}dx=\] |
| A. | \[\frac{1}{4}{{\left( x+\frac{1}{x} \right)}^{4}}+c\] |
| B. | \[\frac{{{x}^{4}}}{4}+\frac{3{{x}^{2}}}{2}+3\log x-\frac{1}{2{{x}^{2}}}+c\] |
| C. | \[\frac{{{x}^{4}}}{4}+\frac{3{{x}^{2}}}{2}+3\log x+\frac{1}{{{x}^{2}}}+c\] |
| D. | None of these |
| Answer» C. \[\frac{{{x}^{4}}}{4}+\frac{3{{x}^{2}}}{2}+3\log x+\frac{1}{{{x}^{2}}}+c\] | |
| 4837. |
\[\int_{{}}^{{}}{\frac{1+{{\cos }^{2}}x}{{{\sin }^{2}}x}dx}=\] [MP PET 1993; BIT Ranchi 1982] |
| A. | \[-\cot x-2x+c\] |
| B. | \[-2\cot x-2x+c\] |
| C. | \[-2\cot x-x+c\] |
| D. | \[-2\cot x+x+c\] |
| Answer» D. \[-2\cot x+x+c\] | |
| 4838. |
\[\int_{{}}^{{}}{\frac{\tan x}{\sec x+\tan x}\ dx=}\] |
| A. | \[\sec x+\tan x-x+c\] |
| B. | \[\sec x-\tan x+x+c\] |
| C. | \[\sec x+\tan x+x+c\] |
| D. | \[-\sec x-\tan x+x+c\] |
| Answer» C. \[\sec x+\tan x+x+c\] | |
| 4839. |
\[\int_{{}}^{{}}{5\sin xdx=}\] [MP PET 1988] |
| A. | \[5\cos x+c\] |
| B. | \[-5\cos x+c\] |
| C. | \[5\sin x+c\] |
| D. | \[-5\sin x+c\] |
| Answer» C. \[5\sin x+c\] | |
| 4840. |
\[\int_{{}}^{{}}{{{x}^{51}}({{\tan }^{-1}}x+{{\cot }^{-1}}x)\ dx=}\] [MP PET 1991] |
| A. | \[\frac{{{x}^{52}}}{52}({{\tan }^{-1}}x+{{\cot }^{-1}}x)+c\] |
| B. | \[\frac{{{x}^{52}}}{52}({{\tan }^{-1}}x-{{\cot }^{-1}}x)+c\] |
| C. | \[\frac{\pi {{x}^{52}}}{104}+\frac{\pi }{2}+c\] |
| D. | \[\frac{{{x}^{52}}}{52}+\frac{\pi }{2}+c\] |
| Answer» B. \[\frac{{{x}^{52}}}{52}({{\tan }^{-1}}x-{{\cot }^{-1}}x)+c\] | |
| 4841. |
\[\int_{{}}^{{}}{{{(\sec x+\tan x)}^{2}}dx=}\] [MP PET 1987, 92] |
| A. | \[2(\sec x+\tan x)-x+c\] |
| B. | \[1/3{{(\sec x+\tan x)}^{3}}+c\] |
| C. | \[\sec x(\sec x+\tan x)+c\] |
| D. | \[2(\sec x+\tan x)+c\] |
| Answer» B. \[1/3{{(\sec x+\tan x)}^{3}}+c\] | |
| 4842. |
\[\int_{{}}^{{}}{\frac{\cot x\tan x}{{{\sec }^{2}}x-1}}\ dx=\] |
| A. | \[\cot x-x+c\] |
| B. | \[-\cot x+x+c\] |
| C. | \[\cot x+x+c\] |
| D. | \[-\cot x-x+c\] |
| Answer» E. | |
| 4843. |
\[\int_{{}}^{{}}{\left( 1+x+\frac{{{x}^{2}}}{2\ !}+\frac{{{x}^{3}}}{3\ !}+.......... \right)\ dx=}\] |
| A. | \[-{{e}^{x}}+c\] |
| B. | \[{{e}^{x}}+c\] |
| C. | \[{{e}^{-x}}+c\] |
| D. | \[-{{e}^{-x}}+c\] |
| Answer» C. \[{{e}^{-x}}+c\] | |
| 4844. |
If \[\int_{{}}^{{}}{(\sin 2x-\cos 2x)}\ dx=\frac{1}{\sqrt{2}}\sin (2x-a)+b\], then [Roorkee 1978; MP PET 2001] |
| A. | \[a=\frac{\pi }{4},\ b=0\] |
| B. | \[a=-\frac{\pi }{4},\ b=0\] |
| C. | \[a=\frac{5\pi }{4},\ b=\]any constant |
| D. | \[a=-\frac{5\pi }{4},\ b=\]any constant |
| Answer» E. | |
| 4845. |
\[\int_{{}}^{{}}{\frac{dx}{1-\sin x}}=\] [MP PET 1991] |
| A. | \[x+\cos x+c\] |
| B. | \[1+\sin x+c\] |
| C. | \[\sec x-\tan x+c\] |
| D. | \[\sec x+\tan x+c\] |
| Answer» E. | |
| 4846. |
\[\int_{{}}^{{}}{\frac{\cos x-1}{\cos x+1}\ dx=}\] [MP PET 1989, 92] |
| A. | \[2\tan \frac{x}{2}-x+c\] |
| B. | \[\frac{1}{2}\tan \frac{x}{2}-x+c\] |
| C. | \[x-\frac{1}{2}\tan \frac{x}{2}+c\] |
| D. | \[x-2\tan \frac{x}{2}+c\] |
| Answer» E. | |
| 4847. |
\[\int_{{}}^{{}}{\sqrt{1-\sin 2x}\ }dx=........,\ \ x\in (0,\ \pi /4)\] [MP PET 1987] |
| A. | \[-\sin x+\cos x\] |
| B. | \[\sin x-\cos x\] |
| C. | \[\tan x+\sec x\] |
| D. | \[\sin x+\cos x\] |
| Answer» E. | |
| 4848. |
The value of \[\int_{1}^{e}{\log x\,dx}\]is [Pb. CET 2001] |
| A. | \[0\] |
| B. | 1 |
| C. | \[e-1\] |
| D. | \[e+1\] |
| Answer» C. \[e-1\] | |
| 4849. |
The value of\[\int_{2}^{3}{\frac{x+1}{{{x}^{2}}(x-1)}dx}\]is [MP PET 2004] |
| A. | \[2\log 2-\frac{1}{6}\] |
| B. | \[\log \frac{16}{9}-\frac{1}{6}\] |
| C. | \[\log \frac{4}{3}-\frac{1}{6}\] |
| D. | \[\log \frac{16}{9}+\frac{1}{6}\] |
| Answer» C. \[\log \frac{4}{3}-\frac{1}{6}\] | |
| 4850. |
The value of \[\int_{1}^{2}{\frac{dx}{x(1+{{x}^{4}})}}\]is [MP PET 2004] |
| A. | \[\frac{1}{4}\log \frac{17}{32}\] |
| B. | \[\frac{1}{4}\log \frac{17}{2}\] |
| C. | \[\log \frac{17}{2}\] |
| D. | \[\frac{1}{4}\log \frac{32}{17}\] |
| Answer» E. | |