12th Commerce Maths 1 Chapter 5 Exercise 5.4 Answers Maharashtra Board

Integration Class 12 Commerce Maths 1 Chapter 5 Exercise 5.4 Answers Maharashtra Board

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

Std 12 Maths 1 Exercise 5.4 Solutions Commerce Maths

Evaluate the following.

Question 1.
\(\int \frac{1}{4 x^{2}-1} d x\)
Solution:
Maharashtra-Board-12th-Commerce-Maths-Solutions-Chapter-5-Integration-Ex-5.4-Q1

Question 2.
\(\int \frac{1}{x^{2}+4 x-5} d x\)
Solution:
Maharashtra-Board-12th-Commerce-Maths-Solutions-Chapter-5-Integration-Ex-5.4-Q2

Maharashtra-Board-Solutions

Question 3.
\(\int \frac{1}{4 x^{2}-20 x+17} d x\)
Solution:
Maharashtra-Board-12th-Commerce-Maths-Solutions-Chapter-5-Integration-Ex-5.4-Q3
Maharashtra-Board-12th-Commerce-Maths-Solutions-Chapter-5-Integration-Ex-5.4-Q3.1

Question 4.
\(\int \frac{x}{4 x^{4}-20 x^{2}-3} d x\)
Solution:
Maharashtra-Board-12th-Commerce-Maths-Solutions-Chapter-5-Integration-Ex-5.4-Q4

Question 5.
\(\int \frac{x^{3}}{16 x^{8}-25} d x\)
Solution:
Maharashtra-Board-12th-Commerce-Maths-Solutions-Chapter-5-Integration-Ex-5.4-Q5
Maharashtra-Board-12th-Commerce-Maths-Solutions-Chapter-5-Integration-Ex-5.4-Q5.1

Maharashtra-Board-Solutions

Question 6.
\(\int \frac{1}{a^{2}-b^{2} x^{2}} d x\)
Solution:
Maharashtra-Board-12th-Commerce-Maths-Solutions-Chapter-5-Integration-Ex-5.4-Q6

Question 7.
\(\int \frac{1}{7+6 x-x^{2}} d x\)
Solution:
Maharashtra-Board-12th-Commerce-Maths-Solutions-Chapter-5-Integration-Ex-5.4-Q7

Question 8.
\(\int \frac{1}{\sqrt{3 x^{2}+8}} d x\)
Solution:
Maharashtra-Board-12th-Commerce-Maths-Solutions-Chapter-5-Integration-Ex-5.4-Q8

Question 9.
\(\int \frac{1}{\sqrt{x^{2}+4 x+29}} d x\)
Solution:
Maharashtra-Board-12th-Commerce-Maths-Solutions-Chapter-5-Integration-Ex-5.4-Q9

Maharashtra-Board-Solutions

Question 10.
\(\int \frac{1}{\sqrt{3 x^{2}-5}} d x\)
Solution:
Maharashtra-Board-12th-Commerce-Maths-Solutions-Chapter-5-Integration-Ex-5.4-Q10

Question 11.
\(\int \frac{1}{\sqrt{x^{2}-8 x-20}} d x\)
Solution:
Maharashtra-Board-12th-Commerce-Maths-Solutions-Chapter-5-Integration-Ex-5.4-Q11