Explore topic-wise MCQs in Mathematics.

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 )
Discussion
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 )
Discussion
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
Discussion
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
Discussion
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.
Discussion
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 )
Discussion
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.
Discussion
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 )
Discussion
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 )
Discussion
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 )
Discussion