# Maharashtra Board 12th Commerce Maths Solutions Chapter 5 Integration Ex 5.4

Balbharati Maharashtra State Board Std 12 Commerce Statistics Part 1 Digest Pdf Chapter 5 Integration Ex 5.4 Questions and Answers.

## Maharashtra State Board 12th Commerce Maths Solutions Chapter 5 Integration Ex 5.4

Evaluate the following.

Question 1.
$$\int \frac{1}{4 x^{2}-1} d x$$
Solution:

Question 2.
$$\int \frac{1}{x^{2}+4 x-5} d x$$
Solution:

Question 3.
$$\int \frac{1}{4 x^{2}-20 x+17} d x$$
Solution:

Question 4.
$$\int \frac{x}{4 x^{4}-20 x^{2}-3} d x$$
Solution:

Question 5.
$$\int \frac{x^{3}}{16 x^{8}-25} d x$$
Solution:

Question 6.
$$\int \frac{1}{a^{2}-b^{2} x^{2}} d x$$
Solution:

Question 7.
$$\int \frac{1}{7+6 x-x^{2}} d x$$
Solution:

Question 8.
$$\int \frac{1}{\sqrt{3 x^{2}+8}} d x$$
Solution:

Question 9.
$$\int \frac{1}{\sqrt{x^{2}+4 x+29}} d x$$
Solution:

Question 10.
$$\int \frac{1}{\sqrt{3 x^{2}-5}} d x$$
Solution:

Question 11.
$$\int \frac{1}{\sqrt{x^{2}-8 x-20}} d x$$
Solution: