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{cos^{-1}x}{ sqrt{1-x^2}} dx ). |
| A. | ( frac{(sin^{-1} u2061x)^2}{2}+C ) |
| B. | ( frac{(cos^{-1} u2061x)^2}{7}+C ) |
| C. | ( frac{(cos^{-1} u2061x)^2}{2}+C ) |
| D. | ( frac{(cos^{-1} u2061x)^2}{2}+C ) |
| Answer» D. ( frac{(cos^{-1} u2061x)^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. | e<sup>x<sup>3</sup></sup>+C |
| Answer» B. ( frac{1}{3e^{x^3}}+C ) | |
| 3. |
Find ( int frac{20x^3}{1+x^4} dx ). |
| A. | 5 log u2061(x<sup>4</sup>)+C |
| B. | -5 log u2061(1+x<sup>4</sup>)+C |
| C. | 5 log u2061(1+x<sup>4</sup>)+C |
| D. | log u2061(1+x<sup>4</sup>)+C |
| Answer» D. log u2061(1+x<sup>4</sup>)+C | |
| 4. |
Find ( int frac{6 sin sqrt{x}}{ sqrt{x}} dx ) |
| A. | (2 ,cos u2061 sqrt{x}+C ) |
| B. | (12 ,cos u2061 sqrt{x}+C ) |
| C. | -12 cos u2061x+C |
| D. | 12 cos u2061x+C |
| Answer» C. -12 cos u2061x+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(x<sup>5</sup>+9) |
| D. | (2 sqrt{x^5+9} ) |
| Answer» E. | |
| 6. |
Find ( int frac{e^{-cot^{-1} x}}{1+x^2} ). |
| A. | (e^{-cot^{-1} u2061x}+C ) |
| B. | (e^{-2cot^{-1} u2061x}+C ) |
| C. | (e^{-tan^{-1} u2061x}+C ) |
| D. | (e^{-cot^1 u20612x}+C ) |
| Answer» B. (e^{-2cot^{-1} u2061x}+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 u2061x)^2+C ) |
| C. | (3e^x- frac{1}{3} (log u2061x)^2+C ) |
| D. | (3e^x+ frac{1}{3} (log u2061x)^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 u2061x^3-8x^3+C ) |
| B. | (sin u2061x^3+8x^3+C ) |
| C. | (sin u2061x^3+8x^3+C ) |
| D. | (sin u2061x^3-x^3+C ) |
| Answer» C. (sin u2061x^3+8x^3+C ) | |
| 10. |
Find 7 cos mx dx. |
| A. | ( frac{7 ,sin u2061mx}{x}+C ) |
| B. | ( frac{7 ,sin u2061mx}{m}+C ) |
| C. | ( frac{sin u2061mx}{x}+C ) |
| D. | ( frac{sin u2061x}{m}+C ) |
| Answer» C. ( frac{sin u2061mx}{x}+C ) | |