Explore topic-wise MCQs in Mathematics Questions and Answers.

This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics Questions and Answers 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(e6 – e2)
C. 11.23
D. 81(e6 – e3)
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.

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

A. False
B. True
Answer» C.
Discussion