NCERT Solutions for Class 12 Maths Chapter 7 Integers Ex 7.5

Get Free NCERT Solutions for Class 12 Maths Chapter 7 Integers Ex 7.5 PDF. Integration Class 12 Maths NCERT Solutions are extremely helpful while doing your homework. Exercise 7.5 Class 12 Maths NCERT Solutions were prepared by Experienced LearnCBSE.in Teachers. Detailed answers of all the questions in Chapter 7 Maths Class 12 Integrals Exercise 7.5 provided in NCERT Textbook.

Free download NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.5 Integrals PDF in Hindi Medium as well as in English Medium for CBSE, Uttarakhand, Bihar, MP Board, Gujarat Board, BIE, Intermediate and UP Board students, who are using NCERT Books based on updated CBSE Syllabus for the session 2019-20.

The topics and sub-topics included in the Integrals chapter are the following:

Section Name	Topic Name
7	Integrals
7.1	Introduction
7.2	Integration as an Inverse Process of Differentiation
7.3	Methods of Integration
7.4	Integrals of some Particular Functions
7.5	Integration by Partial Fractions
7.6	Integration by Parts
7.7	Definite Integral
7.8	Fundamental Theorem of Calculus
7.9	Evaluation of Definite Integrals by Substitution
7.10	Some Properties of Definite Integrals

NCERT Solutions for Class 12 Maths Chapter 7 Integers Ex 7.5

NCERT Solutions for Class 12 Maths Chapter 7 Integers Ex 7.5 are part of NCERT Solutions for Class 12 Maths. Here we have given Class 12 Maths NCERT Solutions Integrals Ex 7.5

Question 1.
$\frac { x }{ (x+1)(x+2) }$
Solution:
NCERT Solutions Maths Class 12 Ex 7.5 Q 1
Question 2.
$\frac { 1 }{ { x }^{ 2 }-9 }$
Solution:

Question 3.
$\frac { 3x-1 }{ (x-1)(x-2)(x-3) }$
Solution:

Question 4.
$\frac { x }{ (x-1)(x-2)(x-3) }$
Solution:

Question 5.
$\frac { 2x }{ { x }^{ 2 }+3x+2 }$
Solution:
Chapter 7 Class 12 Maths Ex 7.5 Q 5
Question 6.
$\frac { 1-{ x }^{ 2 } }{ x(1-2x) }$
Solution:

Question 7.
$\frac { x }{ \left( { x }^{ 2 }+1 \right) \left( x-1 \right) }$
Solution:

Question 8.
$\frac { x }{ { \left( x-1 \right) }^{ 2 }\left( x+2 \right) }$
Solution:
Class 12 Integration NCERT Solutions Ex 7.5 Q 8
Question 9.
$\frac { 3x+5 }{ { x }^{ 3 }-{ x }^{ 2 }-x+1 }$
Solution:

Question 10.
$\frac { 2x-3 }{ ({ x }^{ 2 }-1)(2x+3) }$
Solution:

Question 11.
$\frac { 5x }{ (x-1)({ x }^{ 2 }-4) }$
Solution:

Question 12.
$\frac { { x }^{ 3 }+x+1 }{ { x }^{ 2 }-1 }$
Solution:
Class 12 Integration NCERT Solutions Ex 7.5 Q 12
Question 13.
$\frac { 2 }{ (1-x)(1+{ x }^{ 2 }) }$
Solution:
NCERT Solutions for Class 12 Maths Chapter 7 Miscellaneous Exercise Q 13
Question 14.
$\frac { 3x-1 }{ { (x+2) }^{ 2 } }$
Solution:

Question 15.
$\frac { 1 }{ { x }^{ 4 }-1 }$
Solution:

Question 16.
$\frac { 1 }{ x({ x }^{ n }+1) }$
[Hint : multiply numerator and denominator by x^n-1 and put xⁿ = t ]
Solution:
Class 12 Maths Ex 7.5 Q 16
Class 12 Maths Ex 7.5 Q 16 - i
Question 17.
$\frac { cosx }{ (1-sinx)(2-sinx) }$
Solution:
Class 12 Maths Ex 7.5 Q 17
Question 18.
$\frac { \left( { x }^{ 2 }+1 \right) \left( { x }^{ 2 }+2 \right) }{ \left( { x }^{ 2 }+3 \right) \left( { x }^{ 2 }+4 \right) }$
Solution:
Class 12 Maths Ex 7.5 Q 18
Class 12 Maths Ex 7.5 Q 18 - i
Question 19.
$\frac { 2x }{ ({ x }^{ 2 }+1)({ x }^{ 2 }+3) }$
Solution:
NCERT Class 12 Maths Ex 7.5 Q 19
Question 20.
$\frac { 1 }{ x({ x }^{ 4 }-1) }$
Solution:

Question 21.
$\frac { 1 }{ { e }^{ x }-1 }$
Solution:

Question 22.
choose the correct answer in each of the following :
$\int { \frac { xdx }{ (x-1)(x-2) } equals }$
(a) $log\left| \frac { { (x-1) }^{ 2 } }{ x-2 } \right| +c$
(b) $log\left| \frac { { (x-2) }^{ 2 } }{ x-1 } \right| +c$
(c) $log\left| \left( \frac { x-{ 1 }^{ 2 } }{ x-2 } \right) \right| +c$
(d) log|(x-1)(x-2)|+c
Solution:
NCERT Class 12 Maths Ex 7.5 Q 22
Question 23.
$\int { \frac { dx }{ x({ x }^{ 2 }+1) } equals }$
(a) $log|x|-\frac { 1 }{ 2 } log({ x }^{ 2 }+1)+c$
(b) $log|x|+\frac { 1 }{ 2 } log({ x }^{ 2 }+1)+c$
(c) $-log|x|+\frac { 1 }{ 2 } log({ x }^{ 2 }+1)+c$
(d) $\frac { 1 }{ 2 } log|x|+log({ x }^{ 2 }+1)+c$
Solution:
NCERT Class 12 Maths Ex 7.5 Q 23