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_1^2 log x.x^2 dx )

A. log u20612- ( frac{7}{3} )
B. ( frac{8}{3} ) log u20612-5
C. ( frac{8}{3} ) log u20612-log u20613
D. ( frac{8}{3} ) log u20612
Answer» C. ( frac{8}{3} ) log u20612-log u20613
Discussion
2.

Find the value ( int_{-1}^23x+x^2-2 ,dx ).

A. ( frac{4}{3} )
B. ( frac{3}{2} )
C. ( frac{5}{6} )
D. ( frac{5}{6} )
Answer» C. ( frac{5}{6} )
Discussion
3.

Find ( int_1^2 sqrt{x}-3x ,dx ).

A. ( frac{8 sqrt{2}-31}{6} )
B. (8 sqrt{2}-31 )
C. ( frac{ sqrt{2}-31}{3} )
D. ( frac{8 sqrt{2}+31}{4} )
Answer» B. (8 sqrt{2}-31 )
Discussion
4.

Evaluate the definite integral ( int_0^1 sin^2 x ,dx ).

A. ( frac{ }{2} )
B.
C. ( frac{ }{4} )
D. ( frac{ }{6} )
Answer» D. ( frac{ }{6} )
Discussion
5.

Find ( int_3^45x^3 ,dx ).

A. ( frac{185}{4} )
B. ( frac{185}{3} )
C. ( frac{185}{2} )
D. ( frac{185}{4} )
Answer» E.
Discussion
6.

Evaluate the integral ( int_1^{ sqrt{3}} frac{3}{1+x^2} ).

A. ( frac{ }{2} )
B. ( frac{ }{4} )
C. ( frac{ }{3} )
D. ( frac{ }{6} )
Answer» C. ( frac{ }{3} )
Discussion
7.

Find ( int_0^ (1-sin 3x)dx ).

A. ( frac{3 -2}{4} )
B. 3 -1
C. ( frac{3 -2}{3} )
D. - ( frac{1}{3} )
Answer» D. - ( frac{1}{3} )
Discussion
8.

The value of the integral ( int_0^1(x+3) ,e^{3x} ,dx ).

A. ( frac{8e^3}{9} )
B. ( frac{11}{9} e^3-8 )
C. ( frac{e^{3x}}{9}(x+8) )
D. ( frac{11}{9} e^3- frac{8}{9} )
Answer» E.
Discussion
9.

Find ( int_{ /4}^{ /2}7 ,cos x ,dx ).

A. 7(1- ( frac{1}{ sqrt{2}} ))
B. -7(1- ( frac{1}{ sqrt{2}} ))
C. 7(1+ ( frac{1}{ sqrt{2}} ))
D. 7( ( sqrt{2}- frac{1}{ sqrt{2}} ))
Answer» B. -7(1- ( frac{1}{ sqrt{2}} ))
Discussion
10.

Evaluate the integral ( int_1^5x^2 ,dx ).

A. ( frac{125}{3} )
B. ( frac{124}{3} )
C. 124
D. ( frac{124}{3} )
Answer» C. 124
Discussion