Full of Math Examples
FULL OF MATH EXAMPLES

# Integration Problems

Here is the integration problem set to test your integration skills.

## Integration by Substitution problems

These Problems can be easily solve using integration by substitution .

Explore these integration by substitution examples to learn.

1. $\frac{x}{e^{x^{2}}}$

2. $\frac{2 x}{1+x^{2}}$

3. $\frac{x}{9-4 x^{2}}$

4. $x \sqrt{1+2 x^{2}}$

5. $\frac{1}{x-\sqrt{x}}$

6. $\cot x \log \sin x$

7. $\frac{\sin x}{1+\cos x}$

8. $\frac{1}{1-\tan x}$

9. $\int\left(x^{2}+10\right)^{50} 2 x d x$

10. $\int 8 x^{2}\left(3 x^{3}-1\right)^{16} d x$

11. $\frac{e^{2 x}-1}{e^{2 x}+1}$

12. $\frac{e^{t a n^{-1} x}}{1+x^{2}}$

13. $\sec ^{2}(7-4 x)$

14. $\frac{1}{x+x \log x}$

## Integration by Parts problems

These Problems can be easily solve using integration by parts .

Explore all integration by parts examples to learn.

1. $\int \frac{x \sin ^{-1} x}{\sqrt{1-x^{2}}} d x$

2. $\int x e^{-x} d x$

3. $\int\left(1+x^{2}\right) e^{-x} d x$

4. $\int e^{x} \sin x d x$

5. $x \sec ^{2} x$

6. $\int 3 x e^{4 x} d x$

7. $\int x \ln x d x$

8. $\tan ^{-1} x$

9. $x^{2} \log x$

10. $e^{x}(\sin x+\cos x)$

11. $e^{2 x} \sin x$

12. $\sin ^{-1}\left(\frac{2 x}{1+x^{2}}\right)$

13. $\frac{(x-3) e^{x}}{(x-1)^{3}}$

14. $x \log 2 x$

Solve these math problems by yourself.

If you could not solve a problem ask for help using post your problem .