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 \(\int_{-1}^1 \,2xe^x \,dx\).

A. \(\frac{4}{e}\)
B. 4e
C. –\(\frac{4}{e}\)
D. -4e
Answer» B. 4e
Discussion
2.

Find \(\int_0^{π/4} \,2 \,tan⁡x \,dx\).

A. log⁡2
B. log⁡\(\sqrt{2}\)
C. 2 log⁡2
D. 0
Answer» B. log⁡\(\sqrt{2}\)
Discussion
3.

Find \(\int_0^3 \,e^x \,dx\).

A. e3+1
B. -e3-1
C. e3-1
D. 3e3-2
Answer» D. 3e3-2
Discussion
4.

Find \(\int_{-2}^1 \,5x^4 \,dx\).

A. 54
B. 75
C. 33
D. 36
Answer» D. 36
Discussion
5.

Find \(\int_{π/4}^{π/2} \,2sinx \,sin⁡(cos⁡x) \,dx\).

A. 2(1-cos⁡\(\frac{1}{\sqrt{2}}\))
B. (cos⁡\(\frac{1}{\sqrt{2}}\)-cos⁡1)
C. 2(cos⁡\(\frac{1}{\sqrt{2}}\)+1)
D. (cos⁡\(\frac{1}{\sqrt{2}}\)+cos⁡1)
Answer» B. (cos⁡\(\frac{1}{\sqrt{2}}\)-cos⁡1)
Discussion
6.

Find \(\int_0^2 \,e^{2x} \,dx\).

A. \(\frac{e^4-1}{6}\)
B. \(\frac{e^4+1}{2}\)
C. \(\frac{e-1}{2}\)
D. \(\frac{e^4-1}{2}\)
Answer» E.
Discussion
7.

Find \(\int_0^{\frac{π}{4}} \,9 \,cos^2⁡x \,dx\).

A. \(\frac{9}{2}\left (\frac{π}{6}-1\right)\)
B. \(\frac{9}{4}\left (\frac{π}{2}+1\right)\)
C. \(\frac{9}{4}\left (\frac{π}{2}-1\right)\)
D. \(\left (\frac{π}{2}-1\right)\)
Answer» D. \(\left (\frac{π}{2}-1\right)\)
Discussion
8.

Find the value of \(\int_4^5 \,log⁡x \,dx\).

A. 5 log⁡5-log⁡4+1
B. 5 log⁡5-4 log⁡4-1
C. 4 log⁡5-4 log⁡4-1
D. 5-4 log⁡4-log⁡5
Answer» C. 4 log⁡5-4 log⁡4-1
Discussion
9.

Find \(\int_0^{\frac{π}{2}} \,5 \,sin⁡x \,dx\).

A. -5
B. 9
C. 5
D. -9
Answer» D. -9
Discussion
10.

Find \(\int_0^8x \,dx\).

A. 32
B. 34
C. 21
D. 24
Answer» B. 34
Discussion