Explore topic-wise MCQs in Mathematics.

This section includes 15 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

Evaluate ( int_3^7 )2f(x)-g(x)dx, if ( int_3^7 )f(x) = 4 and ( int_3^7 )g(x)dx = 2.

A. 38
B. 12
C. 6
D. 7
Answer» D. 7
Discussion
2.

Compute ( int_2^6 )7ex dx.

A. 30.82
B. 7(e<sup>6</sup> e<sup>2</sup>)
C. 11.23
D. 81(e<sup>6</sup> e<sup>3</sup>)
Answer» C. 11.23
Discussion
3.

Compute ( int_8^2 )2f(x)dx if ( int_2^8 )f(x) = 3.

A. 4
B. 84
C. 2
D. 8
Answer» D. 8
Discussion
4.

Compute ( int_3^2 )f(x) dx if ( int_2^3 )f(x) = 4.

A. 4
B. 84
C. 2
D. 8
Answer» D. 8
Discussion
5.

Evaluate ( int_2^3 )3f(x)-g(x)dx, if ( int_2^3 )f(x) = 4 and ( int_2^3 )g(x)dx = 4.

A. 38
B. 12
C. 8
D. 7
Answer» D. 7
Discussion
6.

What property this does this equation come under ( int^1_{-1} )sin x dx=- ( int_1^{-1} )sin x dx?

A. Reverse integral property
B. Adding intervals property
C. Zero-length interval property
D. Adding integrand property
Answer» B. Adding intervals property
Discussion
7.

What is the name of the property ( int_a^b )f(x)dx = 0?

A. Reverse integral property
B. Adding intervals property
C. Zero-length interval property
D. Adding integrand property
Answer» C. Zero-length interval property
Discussion
8.

What is the name of the property ( int_a^b )f(x)dx=- ( int_b^a )f(x)dx?

A. Reverse integral property
B. Adding intervals property
C. Zero interval property
D. Adding integrand property
Answer» B. Adding intervals property
Discussion
9.

What is the name of the property of ( int_a^b )f(x)dx+ ( int_b^c )f(x)dx = ( int_a^c )f(x) dx?

A. Zero interval property
B. Adding intervals property
C. Adding integral property
D. Adding integrand property
Answer» C. Adding integral property
Discussion
10.

What is adding intervals property?

A. ( int_a^c )f(x)dx+ ( int_b^c )f(x)dx = ( int_a^c )f(x) dx
B. ( int_a^b )f(x)dx+ ( int_b^a )f(x)dx = ( int_a^c )f(x) dx
C. ( int_a^b )f(x)dx+ ( int_b^c )f(x)dx = ( int_a^c )f(x) dx
D. ( int_a^b )f(x)dx- ( int_b^c )f(x)dx = ( int_a^c )f(x) dx
Answer» D. ( int_a^b )f(x)dx- ( int_b^c )f(x)dx = ( int_a^c )f(x) dx
Discussion
11.

Identify the zero-length interval property.

A. ( int_a^b )f(x)dx = -1
B. ( int_a^b )f(x)dx = 1
C. ( int_a^b )f(x)dx = 0
D. ( int_a^b )f(x)dx = 0.1
Answer» D. ( int_a^b )f(x)dx = 0.1
Discussion
12.

What is the reverse integral property of definite integrals?

A. ( int_a^b )f(x)dx=- ( int_b^a )g(x)dx
B. ( int_a^b )f(x)dx=- ( int_b^a )g(x)dx
C. ( int_a^b )f(x)dx= ( int_b^a )g(x)dx
D. ( int_a^b )f(x)dx=- ( int_b^a )f(x)dx
Answer» E.
Discussion
13.

What is the constant multiple property of definite integrals?

A. ( int_a^b )k f(x)dy
B. ( int_a^b )[f(-x)+g(x)dx
C. ( int_a^b )k f(x)dx
D. ( int_a^b )[f(x)+g(x)dx
Answer» D. ( int_a^b )[f(x)+g(x)dx
Discussion
14.

The sum property of definite integrals is ( int_a^b )[f(x)+g(x)dx?

A. False
B. True
Answer» C.
Discussion
15.

What is the difference property of definite integrals?

A. ( int_a^b )[-f(x)-g(x)dx
B. ( int_a^b )[f(-x)+g(x)dx
C. ( int_a^b )[f(x)-g(x)dx
D. ( int_a^b )[f(x)+g(x)dx
Answer» D. ( int_a^b )[f(x)+g(x)dx
Discussion