# CHSE Odisha Class 12 Math Solutions Chapter 9 Integration Ex 9(g)

Odisha State Board Elements of Mathematics Class 12 Solutions CHSE Odisha Chapter 9 Integration Ex 9(g) Textbook Exercise questions and Answers.

## CHSE Odisha Class 12 Math Solutions Chapter 9 Integration Exercise 9(g)

Evaluate the following Integrals.
Question 1.
(i) ∫$$\frac{\sqrt{2 x+3}}{x}$$ dx
Solution:

(ii) ∫$$\frac{\sqrt{x^2-7}}{x}$$ dx
Solution:

(iii) ∫$$\frac{\sqrt{x}}{x+2}$$ dx
Solution:

(iv) ∫x$$(3 x+2)^{\frac{1}{3}}$$ dx
Solution:

(v) ∫$$\frac{x+2}{(2 x-1)^{\frac{1}{3}}}$$ dx
Solution:

(vi) ∫(x + 2)$$(x+1)^{\frac{1}{4}}$$ dx
Solution:

(vii) ∫$$\frac{x-1}{(x+2)^{\frac{3}{4}}}$$ dx
Solution:

(viii) ∫$$\frac{d x}{\sqrt{x}-\sqrt[3]{x}}$$ (x = t6)
Solution:

Question 2.
(i) ∫$$\frac{3 x+4}{\sqrt{2 x-3}}$$ dx
Solution:

(ii) ∫(7x + 4)$$\sqrt{3 x+2}$$ dx
Solution:

(iii) ∫(3x + 1)$$(x-2)^{\frac{9}{2}}$$ dx
Solution:

(iv) ∫$$\frac{2 x+5}{(x+2)^{\frac{7}{2}}}$$ dx
Solution:

(v) ∫$$\frac{x^2+2 x+1}{\sqrt{x+4}}$$ dx
Solution:

(vi) ∫(x2 + 2x + 7)$$\sqrt{x+1}$$ dx
Solution:

Question 3.
(i) ∫$$\frac{d x}{\sqrt{4 x^2-4 x+5}}$$
Solution:

(ii) ∫$$\sqrt{4 x^2-4 x+5}$$ dx
Solution:

(iii) ∫$$\frac{d x}{\sqrt{x^2-6 x+5}}$$ dx
Solution:

(iv) ∫$$\sqrt{x^2-6 x+5}$$ dx
Solution:

(v) ∫$$\frac{d x}{\sqrt{1+2 x-x^2}}$$ dx
Solution:

(vi) ∫$$\sqrt{1+2 x-x^2}$$ dx
Solution:

Question 4.
(i) ∫$$\frac{d x}{(1+x) \sqrt{1-x^2}}$$ (1 + x = $$\frac{1}{t}$$)
Solution:

(ii) ∫$$\frac{d x}{(2-x) \sqrt{5-4 x+x^2}}$$
Solution:

Question 5.
(i) ∫$$\frac{d x}{(2 x+5) \sqrt{x+2}}$$
Solution:

(ii) ∫$$\frac{1+x^2}{x \sqrt{x^4+1}}$$ dx
Solution:

(iii) ∫$$\sqrt{\frac{x-1}{2 x+1}}$$ dx
Solution:

(iv) ∫$$\frac{x}{\left(a^2-x^2\right)\left(x^2-b^2\right)}$$ dx
Solution: