# Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.6

## Tamilnadu Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.6

Integrate the following with respect to x.
Question 1.
$$\frac{x}{\sqrt{1+x^{2}}}$$
Solution:

Question 2.
$$\frac{x^{2}}{1+x^{6}}$$
Solution:

Question 3.
$$\frac{e^{x}-e^{-x}}{e^{x}+e^{-x}}$$
Solution:

Question 4.

Solution:

Question 5.
$$\frac{\sin \sqrt{x}}{\sqrt{x}}$$
Solution:

Question 6.
$$\frac{\cot x}{\log (\sin x)}$$
Solution:

Question 7.

Solution:

Question 8.

Solution:

Question 9.

Solution:

Question 10.
$$\frac{\sqrt{x}}{1+\sqrt{x}}$$
Solution:

Question 11.
$$\frac{1}{x \log x \log (\log x)}$$
Solution:

Question 12.
αβxα-1e-βxα
Solution:

Question 13.
$$\tan x \sqrt{\sec x}$$
Solution:

Question 14.
x(1 – x)17
Solution:

Question 15.
sin5 x cos3 x
Solution:

Question 16.
$$\frac{\cos x}{\cos (x-a)}$$
Solution:

### Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.6 Additional Problems

Question 1.
(2x + 3)$$\sqrt{x^{2}+3 x-5}$$
Solution:

Question 2.
$$\frac{x \sin ^{-1}\left(x^{2}\right)}{\sqrt{1-x^{4}}}$$
Solution:

Question 3.
sec4 x tan x
Solution:

Question 4.
$$\frac{\sin x}{\sin (x+a)}$$
Solution:

Question 5.
$$\frac{\sqrt{\tan x}}{\sin x \cos x}$$
Solution:

Question 6.
x(l – x)16
Solution:

Question 7.
x2(2 – x)15
Solution:

Question 8.
(x + 1)$$\sqrt{2 x+3}$$
Solution:

Question 9.
(x2)$$\sqrt{x+1}$$
Solution: