Worksheet

Post your Learning Need Signup as a Tutor

Popular Cities

Bangalore

Hyderabad

Delhi

Mumbai

Chennai

Pune

Kolkata

Gurgaon

Ahmedabad

Jaipur

Noida

Your Worksheet is Ready

CBSE - Class 12 Mathematics Integrals Worksheet

Evaluate the definite integrals in Exercises 1 to 20.
13. $\int_{2}^{3} \frac{x dx}{x^2+1}$

Integrate the functions in Exercises 1 to 23.
17. $f'(ax+b)[f(ax+b)]^n$

Integrate the functions in Exercises 1 to 37:
2. $\frac{(\log x)^2}{x}$

Integrate the functions in Exercises 1 to 9.
3. $\sqrt{x^2+4x+6}$

Integrate the functions in Exercises 1 to 22.
13. $\tan^{-1} x$

Integrate the functions in Exercises 1 to 22.
2. $x \sin 3x$

Find the integrals of the functions in Exercises 1 to 22:
4. $\sin^3(2x+1)$

Integrate the functions in Exercises 1 to 37:
8. $x \sqrt{1+2x^2}$

Find the integrals of the functions in Exercises 1 to 22:
16. $\tan^4 x$

10.

Find an anti derivative (or integral) of the following functions by the method of inspection.
2. $\cos 3x$

11.

Integrate the functions in Exercises 1 to 23.
15. $\frac{1}{\sqrt{(x-a)(x-b)}}$

12.

Prove the following (Exercises 32 to 37)
32. $\int_{1}^{3} \frac{dx}{x^2(x+1)} = \frac{2}{3} + \log \frac{2}{3}$

13.

Integrate the functions in Exercises 1 to 37:
20. $\frac{e^{2x}-e^{-2x}}{e^{2x}+e^{-2x}}$

14.

Integrate the functions in Exercises 1 to 37:
1. $\frac{2x}{1+x^2}$

15.

Find the following integrals 9. $\int (2x^2 + e^x) dx$

16.

Integrate the functions in Exercises 1 to 23.
8. $\frac{x^2}{\sqrt{x^6+a^6}}$

17.

Integrate the functions in Exercises 1 to 22.
12. $x \sec^2 x$

18.

Integrate the functions in Exercises 1 to 22.
3. $x^2 e^x$

19.

Integrate the functions in Exercises 1 to 23.
18. $\frac{1}{\sqrt{\sin^3 x \sin(x+\alpha)}}$

20.

Integrate the rational functions in Exercises 1 to 21.
12. $\frac{x^3+x+1}{x^2-1}$

Worksheet Answers

This website uses cookies

We use cookies to improve user experience. Choose what cookies you allow us to use. You can read more about our Cookie Policy in our Privacy Policy

Accept All

Decline All