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_2^3 ,2x^2 ,e^{x^3} ,dx ).

A. (e^{27}-e^8 )
B. ( frac{2}{3} (e^{27}-e^8) )
C. ( frac{2}{3} (e^8-e^{27}) )
D. ( frac{2}{3} (e^{27}+e^8) )
Answer» C. ( frac{2}{3} (e^8-e^{27}) )
Discussion
2.

Evaluate ( int_{ sqrt{2}}^2 ,14x ,log x^2 ,dx )

A. 14(3 log u20612-1)
B. 14(3 log u20612+1)
C. log u20612-1
D. 3 log u20612-1
Answer» B. 14(3 log u20612+1)
Discussion
3.

Find ( int_{-1}^1 ,7x^6 ,(x^7+8)dx )

A. -386
B. ( frac{386}{3} )
C. ( frac{386}{3} )
D. 386
Answer» D. 386
Discussion
4.

Find ( int_0^{ /4} frac{5 ,sin (tan^{-1} x)}{1+x^2} ,dx ).

A. 5- ( frac{1}{ sqrt{2}} )
B. 5+ ( frac{5}{ sqrt{2}} )
C. -5+ ( frac{5}{ sqrt{2}} )
D. 5- ( frac{5}{ sqrt{2}} )
Answer» E.
Discussion
5.

Find ( int_1^2 frac{12 ,log x}{x} ,dx ).

A. -12 log u20612
B. 24 log u20612
C. 12 log u20612
D. 24 log u20614
Answer» C. 12 log u20612
Discussion
6.

Evaluate the integral ( int_1^6 frac{ sqrt{x}+3}{ sqrt{x}} ,dx ).

A. 9
B. ( frac{9}{2} )
C. ( frac{9}{2} )
D. ( frac{4}{5} )
Answer» C. ( frac{9}{2} )
Discussion
7.

Find ( int_0^{ frac{ sqrt{ }}{2}} 2x ,cos x^2 ,dx ).

A. 1
B. ( frac{1}{ sqrt{2}} )
C. ( frac{1}{ sqrt{2}} )
D. ( sqrt{2} )
Answer» C. ( frac{1}{ sqrt{2}} )
Discussion
8.

Find ( int_{-1}^1 frac{5x^4}{ sqrt{x^5+3}} dx ).

A. 4- ( sqrt{2} )
B. 4+2 ( sqrt{2} )
C. 4-2 ( sqrt{2} )
D. 1-2 ( sqrt{2} )
Answer» D. 1-2 ( sqrt{2} )
Discussion
9.

Find ( int_0^1 20x^3 e^{x^4} ) dx.

A. (e-1)
B. 5(e+1)
C. 5e
D. 5(e-1)
Answer» E.
Discussion
10.

Evaluate the integral ( int_0^{ frac{ ^2}{4}} frac{9 sin sqrt{x}}{2 sqrt{x}} dx ).

A. 9
B. -9
C. ( frac{9}{2} )
D. ( frac{9}{2} )
Answer» B. -9
Discussion