MCQOPTIONS
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MCQOPTIONS
This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Find ( int frac{dx}{x^2+4} ). |
| A. | (tan^{-1} frac{ u2061x}{4}+C ) |
| B. | ( frac{1}{2} tan^{-1} u2061 frac{x}{2}+C ) |
| C. | ( frac{3}{4} tan^{-1} u2061x+C ) |
| D. | ( frac{3}{4} tan^{-1} frac{ u20613x}{2}+C ) |
| Answer» C. ( frac{3}{4} tan^{-1} u2061x+C ) | |
| 2. |
Find ( int frac{7dx}{x^2-9} ). |
| A. | ( frac{7}{6} log u2061| frac{x-9}{x+9}|+C ) |
| B. | ( frac{7}{9} log u2061| frac{x-3}{x+3}|+C ) |
| C. | ( frac{7}{6} log u2061| frac{x+3}{x-3}|+C ) |
| D. | ( frac{7}{6} log u2061| frac{x-3}{x+3}|+C ) |
| Answer» E. | |
| 3. |
Find ( int frac{(x+3)}{2x^2+6x+7} dx ). |
| A. | ( frac{1}{4} log u2061(2x^2+6x+7) + frac{3}{4} left ( frac{1}{ sqrt{2}} tan^{-1} u2061 frac{2x+3}{2 sqrt{2}} right )+C ) |
| B. | ( frac{1}{4} log u2061(2x^2+6x+7) frac{3}{4} ( frac{1}{ sqrt{2}} tan^{-1} u2061 frac{2x+3}{2 sqrt{2}} )+C ) |
| C. | (log u2061(2x^2+6x+7) + left (tan^{-1} u2061 frac{2x+3}{2 2} right )+C ) |
| D. | (log u2061(2x^2+6x+7) frac{3}{4} left ( frac{1}{ 2} tan^{-1} u2061 frac{2x+3}{2 2} right )+C ) |
| Answer» B. ( frac{1}{4} log u2061(2x^2+6x+7) frac{3}{4} ( frac{1}{ sqrt{2}} tan^{-1} u2061 frac{2x+3}{2 sqrt{2}} )+C ) | |
| 4. |
Find ( int frac{dx}{x^2-8x+20} ). |
| A. | ( frac{1}{2} tan^{-1} u2061 frac{x^2-8x}{2}+C ) |
| B. | ( frac{5}{2} tan^{-1} u2061 frac{x-4}{2}+C ) |
| C. | ( frac{1}{2} tan^{-1} u2061 frac{x-4}{2}+C ) |
| D. | (x- frac{1}{2} tan^{-1} u2061 frac{x-4}{2}+C ) |
| Answer» D. (x- frac{1}{2} tan^{-1} u2061 frac{x-4}{2}+C ) | |
| 5. |
Integrate ( frac{dx}{ sqrt{x^2+36}} ). |
| A. | (log u2061|x^2+ sqrt{x^2+36}|+C ) |
| B. | (log u2061|2x+ sqrt{x^2+36}|+C ) |
| C. | (log u2061|x^2+ sqrt{x^2+6}|+C ) |
| D. | (log u2061|x^2+ sqrt{x^2+36}|+C ) |
| Answer» E. | |
| 6. |
Find ( int frac{dx}{ sqrt{5-x^2}} ). |
| A. | (sin^{-1} u2061 frac{x}{ sqrt{5}}+C ) |
| B. | (2 sin^{-1} u2061 frac{x}{ sqrt{5}}+C ) |
| C. | (sin^{-1} u2061 frac{x}{ sqrt{5}}+C ) |
| D. | (sin^{-1} u2061 frac{x}{5}+C ) |
| Answer» B. (2 sin^{-1} u2061 frac{x}{ sqrt{5}}+C ) | |
| 7. |
Find ( int frac{10 ,dx}{ sqrt{x^2-25}} ). |
| A. | (log u2061|x+ sqrt{x^2-25}|+C ) |
| B. | (log u2061|x+ sqrt{x^2-25}|+C ) |
| C. | 10 ( log u2061|x+ sqrt{x^2-25}|+C ) |
| D. | -10 (log u2061|x+ sqrt{x^2-25}|+C ) |
| Answer» D. -10 (log u2061|x+ sqrt{x^2-25}|+C ) | |
| 8. |
Find ( int frac{3dx}{9+x^2} ). |
| A. | (tan^{-1} u2061 frac{x}{2}+C ) |
| B. | (tan^{-1} u2061 frac{x}{3}+C ) |
| C. | (tan^{-1} frac{x}{5}+C ) |
| D. | (tan^{-1} u2061 frac{x}{4}+C ) |
| Answer» C. (tan^{-1} frac{x}{5}+C ) | |
| 9. |
Find ( int frac{8 dx}{x^2-16} ). |
| A. | (log u2061 left | frac{4+x}{4-x} right |+C ) |
| B. | (log u2061 left | frac{4+x}{4-x} right |+C ) |
| C. | (8 log u2061 left | frac{4+x}{4-x} right |+C ) |
| D. | ( frac{1}{8} log u2061 left | frac{4+x}{4-x} right |+C ) |
| Answer» B. (log u2061 left | frac{4+x}{4-x} right |+C ) | |
| 10. |
Find ( int frac{2 dx}{x^2-64} ). |
| A. | (log u2061 left | frac{x+8}{x-8} right |+C ) |
| B. | ( frac{3}{2} log u2061 left | frac{x+8}{x-8} right |+C ) |
| C. | (log u2061 left | frac{x+8}{x-8} right |+C ) |
| D. | ( frac{1}{8} log u2061 left | frac{x-8}{x+8} right |+C ) |
| Answer» E. | |