Students can Download Maths Chapter 7 Integrals Ex 7.5 Questions and Answers, Notes Pdf, 2nd PUC Maths Question Bank with Answers helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations.

Karnataka 2nd PUC Maths Question Bank Chapter 7 Integrals Ex 7.5

2nd PUC Maths Integrals NCERT Text Book Questions and Answers Ex 7.5

Question 1.
\(\frac{x}{(x+1)(x+2)}\)
Answer:
2nd PUC Maths Question Bank Chapter 7 Integrals Ex 7.5.1
2nd PUC Maths Question Bank Chapter 7 Integrals Ex 7.5.2

KSEEB Solutions

Question 2.
\(\frac{1}{x^{2}-9}\)
Answer:
2nd PUC Maths Question Bank Chapter 7 Integrals Ex 7.5.3

Question 3.
\(\frac{3 x-1}{(x-1)(x-2)(x-3)}\)
Answer:
2nd PUC Maths Question Bank Chapter 7 Integrals Ex 7.5.4

Question 4.
\(\frac{x}{(x-1)(x-2)(x-3)}\)
Answer:
2nd PUC Maths Question Bank Chapter 7 Integrals Ex 7.5.5
2nd PUC Maths Question Bank Chapter 7 Integrals Ex 7.5.6

KSEEB Solutions

Question 5.
\(\frac{2 x}{x^{2}+3 x+2}\)
Answer:
2nd PUC Maths Question Bank Chapter 7 Integrals Ex 7.5.7

Question 6.
\(\frac{1-x^{2}}{x(1-2 x)}\)
Answer:
2nd PUC Maths Question Bank Chapter 7 Integrals Ex 7.5.8
2nd PUC Maths Question Bank Chapter 7 Integrals Ex 7.5.9

Question 7.
\(\frac{x}{\left(x^{2}+1\right)(x-1)}\)
Answer:
2nd PUC Maths Question Bank Chapter 7 Integrals Ex 7.5.10

KSEEB Solutions

Question 8.
\(\frac{\mathbf{x}}{(\mathbf{x}-\mathbf{1})^{2}(\mathbf{x}+\mathbf{2})}\)
Answer:
2nd PUC Maths Question Bank Chapter 7 Integrals Ex 7.5.11
2nd PUC Maths Question Bank Chapter 7 Integrals Ex 7.5.12

Question 9.
\(\frac{3 x+5}{x^{3}-x^{2}-x+1}\)
Answer:
2nd PUC Maths Question Bank Chapter 7 Integrals Ex 7.5.13

Question 10.
\(\frac{2 x-3}{\left(x^{2}-1\right)(2 x+3)}\)
Answer:
2nd PUC Maths Question Bank Chapter 7 Integrals Ex 7.5.14
2nd PUC Maths Question Bank Chapter 7 Integrals Ex 7.5.15

Question 11.
\(\frac{5 x}{(x+1)\left(x^{2}-4\right)}\)
Answer:
2nd PUC Maths Question Bank Chapter 7 Integrals Ex 7.5.16

KSEEB Solutions

Question 12.
\(\frac{x^{3}+x+1}{x^{2}-1}\)
Answer:
2nd PUC Maths Question Bank Chapter 7 Integrals Ex 7.5.17

Question 13.
\(\frac{2}{(1-x)\left(1+x^{2}\right)}\)
Answer:
2nd PUC Maths Question Bank Chapter 7 Integrals Ex 7.5.18
2nd PUC Maths Question Bank Chapter 7 Integrals Ex 7.5.19

Question 14.
\(\frac{3 x-1}{\left(1+2^{2}\right)}\)
Answer:
2nd PUC Maths Question Bank Chapter 7 Integrals Ex 7.5.20

KSEEB Solutions

Question 15.
\(\frac{1}{x^{4}-1}\)
Answer:
2nd PUC Maths Question Bank Chapter 7 Integrals Ex 7.5.21
2nd PUC Maths Question Bank Chapter 7 Integrals Ex 7.5.22

Question 16.
\(\frac{1}{x\left(x^{n}+1\right)}\) [Hint : multiply numberator and denominator by xn -1and put xn = t]
Answer:
2nd PUC Maths Question Bank Chapter 7 Integrals Ex 7.5.23

KSEEB Solutions

Question 17.
\(\frac{\cos x}{(1-\sin x)(2-\sin x)}\) [Hint: Put sin x = t]
Answer:
2nd PUC Maths Question Bank Chapter 7 Integrals Ex 7.5.24

Question 18.
\(\frac{\left(x^{2}+1\right)\left(x^{2}+2\right)}{\left(x^{2}+3\right)\left(x^{2}+4\right)}\)
Answer:
2nd PUC Maths Question Bank Chapter 7 Integrals Ex 7.5.25

Question 19.
\(\frac{2 x}{\left(x^{2}+1\right)\left(x^{2}+3\right)}\)
Answer:
2nd PUC Maths Question Bank Chapter 7 Integrals Ex 7.5.26
2nd PUC Maths Question Bank Chapter 7 Integrals Ex 7.5.27

KSEEB Solutions

Question 20.
\(\frac{1}{x\left(x^{4}-1\right)}\)
Answer:
2nd PUC Maths Question Bank Chapter 7 Integrals Ex 7.5.28

Question 21.
\(\frac{1}{\left(e^{x}-1\right)}\)
Answer:
2nd PUC Maths Question Bank Chapter 7 Integrals Ex 7.5.29
Choose the correct answer in each of the Exercises 22 and 23.

Question 22.
\(\int \frac{x d x}{(x-1)(x-2)} \text { equals }\)
(A) \(\log \left|\frac{(x-2)^{2}}{x-1}\right|+C\)
(B) \(\log \left|\frac{(x-2)^{2}}{x-1}\right|+C\)
(C) \(\log \left|\frac{(x-1)^{2}}{x-2}\right|+C\)
(D) log |(x – 1) (x – 2)| + C
Answer:
2nd PUC Maths Question Bank Chapter 7 Integrals Ex 7.5.30

KSEEB Solutions

Question 23.
\(\int \frac{d x}{x\left(x^{2}+1\right)} \text { equals }\)

2nd PUC Maths Question Bank Chapter 7 Integrals Ex 7.5.31
Answer:
2nd PUC Maths Question Bank Chapter 7 Integrals Ex 7.5.32
2nd PUC Maths Question Bank Chapter 7 Integrals Ex 7.5.33