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 \(\int \frac{cos^{-1}x}{\sqrt{1-x^2}} dx\).

A. \(\frac{(sin^{-1}⁡x)^2}{2}+C\)
B. \(\frac{(cos^{-1}⁡x)^2}{7}+C\)
C. \(\frac{(cos^{-1}⁡x)^2}{2}+C\)
D. –\(\frac{(cos^{-1}⁡x)^2}{2}+C\)
Answer» D. –\(\frac{(cos^{-1}⁡x)^2}{2}+C\)
Discussion
2.

Integrate \(\frac{x^2}{e^{x^3}}\).

A. –\(\frac{1}{(3e^{x^3})}+C\)
B. \(\frac{1}{3e^{x^3}}+C\)
C. –\(\frac{1}{e^{x^3}}+C\)
D. ex3+C
Answer» B. \(\frac{1}{3e^{x^3}}+C\)
Discussion
3.

Find \(\int \frac{20x^3}{1+x^4} dx\).

A. 5 log⁡(x4)+C
B. -5 log⁡(1+x4)+C
C. 5 log⁡(1+x4)+C
D. log⁡(1+x4)+C
Answer» D. log⁡(1+x4)+C
Discussion
4.

Find \(\int \frac{6 sin⁡\sqrt{x}}{\sqrt{x}} dx\)

A. \(2 \,cos⁡\sqrt{x}+C\)
B. –\(12 \,cos⁡\sqrt{x}+C\)
C. -12 cos⁡x+C
D. 12 cos⁡x+C
Answer» C. -12 cos⁡x+C
Discussion
5.

Find the integral of \(\frac{5x^4}{\sqrt{x^5+9}}\).

A. \(\sqrt{x^5+9}\)
B. \(2\sqrt{x^5-9}\)
C. 2(x5+9)
D. \(2\sqrt{x^5+9}\)
Answer» E.
Discussion
6.

Find \(\int \frac{e^{-cot^{-1}⁡x}}{1+x^2}\).

A. \(e^{-cot^{-1}⁡x}+C\)
B. \(e^{-2cot^{-1}⁡x}+C\)
C. \(e^{-tan^{-1}⁡x}+C\)
D. \(e^{-cot^1⁡2x}+C\)
Answer» B. \(e^{-2cot^{-1}⁡x}+C\)
Discussion
7.

Find the integral of \(3e^x+\frac{2(log⁡ x)}{3x}\).

A. \(3e^x+\frac{1}{3} (x)^2+C\)
B. \(e^x-\frac{8}{3} (log⁡x)^2+C\)
C. \(3e^x-\frac{1}{3} (log⁡x)^2+C\)
D. \(3e^x+\frac{1}{3} (log⁡x)^2+C\)
Answer» E.
Discussion
8.

Find \(\int 6x(x^2+6)dx\).

A. \(\frac{3x^4}{2}+18x^2+C\)
B. \(\frac{3x^4}{2}-18x+C\)
C. \(\frac{3x^4}{2}-18x^2+C\)
D. \(\frac{3x^4}{2}+x^2+C\)
Answer» B. \(\frac{3x^4}{2}-18x+C\)
Discussion
9.

Integrate \(3x^2 (cos⁡x^3+8)\).

A. \(sin⁡x^3-8x^3+C\)
B. \(sin⁡x^3+8x^3+C\)
C. –\(sin⁡x^3+8x^3+C\)
D. \(sin⁡x^3-x^3+C\)
Answer» C. –\(sin⁡x^3+8x^3+C\)
Discussion
10.

Find ∫7 cos⁡mx dx.

A. \(\frac{7 \,sin⁡mx}{x}+C\)
B. \(\frac{7 \,sin⁡mx}{m}+C\)
C. \(\frac{sin⁡mx}{x}+C\)
D. \(\frac{sin⁡x}{m}+C\)
Answer» C. \(\frac{sin⁡mx}{x}+C\)
Discussion