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(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.

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