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 the integral of (ax2+b)2.

A. ( frac{a^2 ,x^5}{5}+b^2 ,x+ frac{2abx^3}{3}+C )
B. ( frac{a^2 ,x^5}{5}-b^2 ,x+ frac{2abx^3}{3}+C )
C. ( frac{b^2 ,x^5}{5}+b^2 x+ frac{27x^3}{3}+C )
D. ( frac{a^2 ,x^5}{5}+x+ frac{2abx^3}{5}+C )
Answer» B. ( frac{a^2 ,x^5}{5}-b^2 ,x+ frac{2abx^3}{3}+C )
Discussion
2.

Find the integral ( int sin 2x+e^3x-cos 3x dx ).

A. ( frac{sin u20612x}{2}+ frac{e^{3x}}{3}- frac{sin u20613x}{3}+C )
B. ( frac{cos u20612x}{2}+ frac{e^{3x}}{3}- frac{sin u20613x}{3}+C )
C. ( frac{cos u20612x}{2}+ frac{e^{3x}}{3}- frac{cos u20613x}{3}+C )
D. ( frac{cos u20612x}{2}- frac{e^{3x}}{3}+ frac{cos u20613x}{3}+C )
Answer» C. ( frac{cos u20612x}{2}+ frac{e^{3x}}{3}- frac{cos u20613x}{3}+C )
Discussion
3.

Find ( int ,7x^8-4e^{2x}- frac{2}{x^2} ,dx ).

A. ( frac{7x^4}{4}-2e^{2x}+ frac{2}{x}+C )
B. ( frac{7x^4}{4}+2e^{2x}+ frac{2}{x}+C )
C. ( frac{7x^4}{4}-2e^{2x} frac{2}{x^2}+C )
D. ( frac{7x^4}{8}+2e^{2x}- frac{4}{x}+C )
Answer» B. ( frac{7x^4}{4}+2e^{2x}+ frac{2}{x}+C )
Discussion
4.

Find ( int (2+x)x sqrt{x} dx ).

A. ( frac{4x^{5/2}}{5}+ frac{2x^{7/2}}{9}+C )
B. ( frac{4x^{5/2}}{5}- frac{2x^{7/2}}{7}+C )
C. ( frac{4x^{5/2}}{6}+ frac{2x^{7/2}}{7}+C )
D. ( frac{4x^{5/2}}{5}+ frac{2x^{7/2}}{7}+C )
Answer» D. ( frac{4x^{5/2}}{5}+ frac{2x^{7/2}}{7}+C )
Discussion
5.

Find ( int ,3 ,cos x+ frac{1}{x} dx ).

A. (3 ,sin u2061x- frac{1}{x}+C )
B. (2 ,sin u2061x+ frac{1}{x^3}+C )
C. (3 ,sin u20613x+ frac{1}{x}+C )
D. (sin u2061x- frac{1}{x^2}+C )
Answer» B. (2 ,sin u2061x+ frac{1}{x^3}+C )
Discussion
6.

Find the integral of ( frac{4x^4-3x^2}{x^3} ).

A. 7x<sup>2</sup>-3 log u2061x<sup>3</sup>+C
B. 2x<sup>2</sup>-3 log u2061x+C
C. x<sup>2</sup>-log u2061x+C
D. 2x<sup>2</sup>+3 log u2061x+C
Answer» C. x<sup>2</sup>-log u2061x+C
Discussion
7.

Find the integral of ( int 3e^x+ frac{2}{x}+x^3 dx ).

A. (3e^3x+ frac{2}{x}- frac{x^4}{4}+c )
B. (3e^x+2 ,log u2061x+ frac{x^4}{4}+c )
C. (e^x+2 ,log u2061x+ frac{x^4}{4}+c )
D. (3e^x- frac{2}{x^2}+ frac{x^4}{4}+c )
Answer» C. (e^x+2 ,log u2061x+ frac{x^4}{4}+c )
Discussion
8.

Find the integral of 2 sin 2x+3.

A. sin u20612x+3x+C
B. -cos u20612x-3x<sup>3</sup>+C
C. -cos u20612x+3x+C
D. cos u20612x-3x+12+C
Answer» D. cos u20612x-3x+12+C
Discussion
9.

Find 7x2-x3+2x dx.

A. ( frac{7x^3}{3}+ frac{x^4}{5}- frac{2x^2}{2}+C )
B. ( frac{7x^3}{3}+ frac{x^4}{4}+ frac{2x^2}{2}+C )
C. ( frac{7x^5}{9}- frac{x^4}{4}+ frac{2x^2}{2}+C )
D. ( frac{7x^3}{3}- frac{x^4}{4}+x^2+C )
Answer» E.
Discussion
10.

Find the integral of (8x^3+1 ).

A. 2x<sup>4</sup>+x+C
B. 2x<sup>6</sup>-5x+C
C. 2x<sup>4</sup>-x+C
D. 2x<sup>4</sup>+x<sup>2</sup> C
Answer» B. 2x<sup>6</sup>-5x+C
Discussion