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 sin x log (cos x) dx.

A. cos u2061x (log u2061(sin u2061x)-1)+C
B. sin u2061x (log u2061(cos u2061x)+1)+C
C. cos u2061x (log u2061(cos u2061x)-1)+C
D. cos u2061x (log u2061(cos u2061x)-1)+C
Answer» D. cos u2061x (log u2061(cos u2061x)-1)+C
Discussion
2.

Integrate 5x sin 3x.

A. ( frac{5}{3} ,x ,cos u20613x+ frac{5}{9} tan u20613x+C )
B. ( frac{5}{3} ,cos u20613x- frac{5}{9} ,sin u20613x+C )
C. (x cos u20613x+ frac{5}{9} ,sin u20613x+C )
D. ( frac{5}{3} ,x ,cos u20613x+ frac{5}{9} ,sin u20613x+C )
Answer» E.
Discussion
3.

Find 2x3 ex2 dx.

A. -e<sup>x<sup>2</sup></sup> (x<sup>2</sup>+2)+C
B. e<sup>x<sup>2</sup></sup> (x<sup>2</sup>-1)+C
C. 2e<sup>x<sup>2</sup></sup> (x<sup>2</sup>+1)+C
D. e<sup>x<sup>2</sup></sup> (x-1)+C
Answer» C. 2e<sup>x<sup>2</sup></sup> (x<sup>2</sup>+1)+C
Discussion
4.

Find 10 log x.x2 dx

A. ( frac{10x^3}{3} left(x^3 log u2061x- frac{x^3}{3} right)+C )
B. ( frac{10x^3}{3} left(log u2061x- frac{x^3}{3} right)+C )
C. (- frac{10x^3}{3} left(x^3 log u2061x- frac{x^3}{3} right)+C )
D. ( left(x^3 log u2061x- frac{x^3}{3} right)+C )
Answer» B. ( frac{10x^3}{3} left(log u2061x- frac{x^3}{3} right)+C )
Discussion
5.

Integrate 3 sec2 x log (tan x) dx.

A. -log u2061(tan u2061x) (tan u2061x-1)+C
B. log u2061(tan u2061x) (sec u2061x+1)+C
C. tan u2061x (log u2061(tan u2061x)-1)+C
D. tan u2061x (log u2061sec u2061x +1)+C
Answer» D. tan u2061x (log u2061sec u2061x +1)+C
Discussion
6.

Integrate 2x sin 2x.

A. ( frac{sin u20612x}{2} )+x cos u20612x+C
B. ( frac{sin u20612x}{2} )-cos u20612x+C
C. ( frac{cos u20612x}{2} )-x cos u20612x+C
D. ( frac{sin u20612x}{2} )-x cos u20612x+C
Answer» E.
Discussion
7.

Integrate log x2 dx

A. log u2061x<sup>2</sup> + x+C
B. x log u2061x<sup>2</sup> 2x+C
C. x log u2061x<sup>2</sup> 1+C
D. x log u2061x<sup>2</sup> + x+C
Answer» C. x log u2061x<sup>2</sup> 1+C
Discussion
8.

Integrate ((x^2+9) e^{2x} dx )

A. ( frac{e^{x}}{2} (x^2+x- frac{39}{4})+C )
B. ( frac{e^{2x}}{2} (x^2+x- frac{35}{4})+C )
C. ( frac{e^{2x}}{2} (x^2+x- frac{48}{4})+C )
D. ( frac{e^{x}}{2} (x^2+x- frac{25}{4})+C )
Answer» C. ( frac{e^{2x}}{2} (x^2+x- frac{48}{4})+C )
Discussion
9.

Find 7 log x.x dx

A. ( frac{7}{2} (log u2061x-x)+C )
B. ( frac{7}{2} (x^2 log u2061x-x^3)+C )
C. ( frac{7}{2} (x^2 log u2061x-x)+C )
D. (x<sup>2</sup> log u2061x+x)+C
Answer» D. (x<sup>2</sup> log u2061x+x)+C
Discussion
10.

Integrate xe2x.

A. ( frac{e^{2x}}{4} (x- frac{1}{4})+C )
B. ( frac{e^{2x}}{4} (2x-1)+C )
C. ( frac{e^{2x}}{2} (2x-1)+C )
D. ( frac{e^{2x}}{4} (x+1)+C )
Answer» C. ( frac{e^{2x}}{2} (2x-1)+C )
Discussion