MCQOPTIONS

Explore topic-wise MCQs in Mathematics Questions and Answers.

This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics Questions and Answers knowledge and support exam preparation. Choose a topic below to get started.

1.	Find \(\int \frac{cos^{-1}x}{\sqrt{1-x^2}} dx\).
A.	\(\frac{(sin^{-1}⁡x)^2}{2}+C\)
B.	\(\frac{(cos^{-1}⁡x)^2}{7}+C\)
C.	\(\frac{(cos^{-1}⁡x)^2}{2}+C\)
D.	–\(\frac{(cos^{-1}⁡x)^2}{2}+C\)
Answer» D. –\(\frac{(cos^{-1}⁡x)^2}{2}+C\)

2.	Integrate \(\frac{x^2}{e^{x^3}}\).
A.	–\(\frac{1}{(3e^{x^3})}+C\)
B.	\(\frac{1}{3e^{x^3}}+C\)
C.	–\(\frac{1}{e^{x^3}}+C\)
D.	ex3+C
Answer» B. \(\frac{1}{3e^{x^3}}+C\)

3.	Find \(\int \frac{20x^3}{1+x^4} dx\).
A.	5 log⁡(x4)+C
B.	-5 log⁡(1+x4)+C
C.	5 log⁡(1+x4)+C
D.	log⁡(1+x4)+C
Answer» D. log⁡(1+x4)+C

4.	Find \(\int \frac{6 sin⁡\sqrt{x}}{\sqrt{x}} dx\)
A.	\(2 \,cos⁡\sqrt{x}+C\)
B.	–\(12 \,cos⁡\sqrt{x}+C\)
C.	-12 cos⁡x+C
D.	12 cos⁡x+C
Answer» C. -12 cos⁡x+C

5.	Find the integral of \(\frac{5x^4}{\sqrt{x^5+9}}\).
A.	\(\sqrt{x^5+9}\)
B.	\(2\sqrt{x^5-9}\)
C.	2(x5+9)
D.	\(2\sqrt{x^5+9}\)
Answer» E.

6.	Find \(\int \frac{e^{-cot^{-1}⁡x}}{1+x^2}\).
A.	\(e^{-cot^{-1}⁡x}+C\)
B.	\(e^{-2cot^{-1}⁡x}+C\)
C.	\(e^{-tan^{-1}⁡x}+C\)
D.	\(e^{-cot^1⁡2x}+C\)
Answer» B. \(e^{-2cot^{-1}⁡x}+C\)

7.	Find the integral of \(3e^x+\frac{2(log⁡ x)}{3x}\).
A.	\(3e^x+\frac{1}{3} (x)^2+C\)
B.	\(e^x-\frac{8}{3} (log⁡x)^2+C\)
C.	\(3e^x-\frac{1}{3} (log⁡x)^2+C\)
D.	\(3e^x+\frac{1}{3} (log⁡x)^2+C\)
Answer» E.

8.	Find \(\int 6x(x^2+6)dx\).
A.	\(\frac{3x^4}{2}+18x^2+C\)
B.	\(\frac{3x^4}{2}-18x+C\)
C.	\(\frac{3x^4}{2}-18x^2+C\)
D.	\(\frac{3x^4}{2}+x^2+C\)
Answer» B. \(\frac{3x^4}{2}-18x+C\)

9.	Integrate \(3x^2 (cos⁡x^3+8)\).
A.	\(sin⁡x^3-8x^3+C\)
B.	\(sin⁡x^3+8x^3+C\)
C.	–\(sin⁡x^3+8x^3+C\)
D.	\(sin⁡x^3-x^3+C\)
Answer» C. –\(sin⁡x^3+8x^3+C\)

10.	Find ∫7 cos⁡mx dx.
A.	\(\frac{7 \,sin⁡mx}{x}+C\)
B.	\(\frac{7 \,sin⁡mx}{m}+C\)
C.	\(\frac{sin⁡mx}{x}+C\)
D.	\(\frac{sin⁡x}{m}+C\)
Answer» C. \(\frac{sin⁡mx}{x}+C\)