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.

Find \(\int_1^2 log⁡x.x^2 dx\)

A. log⁡2-\(\frac{7}{3}\)
B. \(\frac{8}{3}\) log⁡2-5
C. \(\frac{8}{3}\) log⁡2-log⁡3
D. \(\frac{8}{3}\) log⁡2
Answer» C. \(\frac{8}{3}\) log⁡2-log⁡3
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. –\(\frac{π}{2}\)
B. π
C. \(\frac{π}{4}\)
D. \(\frac{π}{6}\)
Answer» D. \(\frac{π}{6}\)
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. \(\frac{π}{2}\)
B. \(\frac{π}{4}\)
C. \(\frac{π}{3}\)
D. \(\frac{π}{6}\)
Answer» C. \(\frac{π}{3}\)
Discussion
7.

Find \(\int_0^π(1-sin⁡3x)dx\).

A. \(\frac{3π-2}{4}\)
B. 3π-1
C. \(\frac{3π-2}{3}\)
D. π-\(\frac{1}{3}\)
Answer» D. π-\(\frac{1}{3}\)
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 \(\int_{π/4}^{π/2}7 \,cos⁡x \,dx\).

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