# Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.2

## Tamilnadu Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.2

Integrate the following functions w.r.to ‘x’.
Question 1.
(i) (x + 5)6
(ii) $$\frac{1}{(2-3 x)^{4}}$$
(iii) $$\sqrt{3 x+2}$$
Solution:

Question 2.
(i) sin 3x
(ii) cos (5 – 11x)
(iii) cosec2 (5x – 7)
Solution:

Question 3.
(i) e3x – 6
(ii) e8 – 7x
(iii) $$\frac{1}{6-4 x}$$
Solution:

Question 4.
(i) sec2$$\frac{x}{5}$$
(ii) cosec (5x + 3) cot (5x + 3)
(iii) sec (2 – 15x) tan (2 – 15x)
Solution:

Question 5.
(i) $$\frac{1}{\sqrt{1-(4 x)^{2}}}$$
(ii) $$\frac{1}{\sqrt{1-81 x^{2}}}$$
(iii) $$\frac{1}{1+36 x^{2}}$$
Solution:

### Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.2 Additional Problems

Question 1.
(3x + 4)6
Solution:

Question 2.
$$\frac{1}{(x+5)^{4}}$$
Solution:

Question 3.
$$\frac{1}{p+q x}$$
Solution:

Question 4.
cos(4x + 5)
Solution:

Question 5.
cosec2(7 – 11x)
Solution:

Question 6.
sec(3 + x) tan(3 + x)
Solution:

Question 7.
cosec(3 – 2x) cot(3 – 2x)
Solution:

Question 8.
e3x + 2
Solution:

Question 9.
$$\frac{1}{\sin ^{2}(l-m x)}$$
Solution:

Question 10.
(lx + m)1/2
Solution: