NCERT Solutions for Class 12 Maths Chapter 7 Integers Ex 7.9

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NCERT Solutions for Class 12 Maths Chapter 7 Integers Ex 7.9

Get Free NCERT Solutions for Class 12 Maths Chapter 7 Integers Ex 7.9 PDF. Integration Class 12 Maths NCERT Solutions are extremely helpful while doing your homework. Exercise 7.9 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 7.9 provided in NCERT Textbook.

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 7.9

NCERT Solutions for Class 12 Maths Chapter 7 Integers Ex 7.9 are part of NCERT Solutions for Class 12 Maths. Here we have given Class 12 Maths NCERT Solutions Integrals Ex 7.9
Question 1.
\int _{ -1 }^{ 1 }{ { (x+1 }) } dx\quad
Solution:
NCERT Solutions for Class 12 Maths Chapter 7 Ex 7.9 Q 1

Question 2.
\int _{ 2 }^{ 3 }{ \frac { 1 }{ x } dx }
Solution:
NCERT Solutions for Class 12 Maths Chapter 7 Ex 7.9 Q 2

Question 3.
\int _{ 1 }^{ 2 }{ \left( { 4x }^{ 3 }-{ 5x }^{ 2 }+6x+9 \right) dx }
Solution:
NCERT Solutions for Class 12 Maths Chapter 7 Ex 7.9 Q 3

Question 4.
\int _{ 0 }^{ \frac { \pi }{ 4 } }{ sin2x\quad dx }
Solution:
NCERT Solutions for Class 12 Maths Chapter 7 Ex 7.9 Q 4

Question 5.
\int _{ 0 }^{ \frac { \pi }{ 2 } }{ cos2x\quad dx }
Solution:
NCERT Integration Ex 7.9 Q 5

Question 6.
\int _{ 4 }^{ 5 }{ { e }^{ x }dx }
Solution:
NCERT Integration Ex 7.9 Q 6

Question 7.
\int _{ 0 }^{ \frac { \pi }{ 4 } }{ tanx\quad dx }
Solution:
NCERT Integration Ex 7.9 Q 7

Question 8.
\int _{ \frac { \pi }{ 6 } }^{ \frac { \pi }{ 4 } }{ cosec\quad xdx }
Solution:
NCERT Integration Ex 7.9 Q 8

Question 9.
\int _{ 0 }^{ 1 }{ \frac { dx }{ \sqrt { 1-{ x }^{ 2 } } } }
Solution:
NCERT Class 12 Maths Solution Ex 7.9 Q 9

Question 10.
\int _{ 0 }^{ 1 }{ \frac { dx }{ 1+{ x }^{ 2 } } }
Solution:
NCERT Class 12 Maths Solution Ex 7.9 Q 10

Question 11.
\int _{ 2 }^{ 3 }{ \frac { dx }{ { x }^{ 2 }-1 } }
Solution:
NCERT Class 12 Maths Solution Ex 7.9 Q 11

Question 12.
\int _{ 0 }^{ \frac { \pi }{ 2 } }{ { cos }^{ 2 } } xdx
Solution:
NCERT Class 12 Maths Solution Ex 7.9 Q 12

Question 13.
\int _{ 2 }^{ 3 }{ \frac { x }{ { x }^{ 2 }+1 } } dx
Solution:
Ex 7.9 Class 12 Q 13

Question 14.
\int _{ 0 }^{ 1 }{ \frac { 2x+3 }{ { 5x }^{ 2 }+1 } dx }
Solution:
Ex 7.9 Class 12 Q 14

Question 15.
\int _{ 0 }^{ 1 }{ { xe }^{ { x }^{ 2 } }dx }
Solution:
Ex 7.9 Class 12 Q 15

Question 16.
\int _{ 1 }^{ 2 }{ \frac { { 5x }^{ 2 } }{ { x }^{ 2 }+4x+3 } dx }
Solution:
Ex 7.9 Class 12 Q 16
Ex 7.9 Class 12 Q 16 - i

Question 17.
\int _{ 0 }^{ \frac { \pi }{ 4 } }{ \left( { 2sec }^{ 2 }x+{ x }^{ 3 }+2 \right) dx }
Solution:
Ex 7.9 Class 12 Q 17

Question 18.
\int _{ 0 }^{ \pi }{ \left( { sin }^{ 2 }\frac { x }{ 2 } -{ cos }^{ 2 }\frac { x }{ 2 } \right) } dx
Solution:
Maths NCERT Class 12 Solutions Ex 7.9 Q 18

Question 19.
\int _{ 0 }^{ 2 }{ \frac { 6x+3 }{ { x }^{ 2 }+4 } } dx
Solution:
Maths NCERT Class 12 Solutions Ex 7.9 Q 19

Question 20.
\int _{ 0 }^{ 1 }{ \left( { xe }^{ x }+sin\frac { \pi x }{ 4 } \right) dx }
Solution:
Maths NCERT Class 12 Solutions Ex 7.9 Q 20

Question 21.
\int _{ 1 }^{ \sqrt { 3 } }{ \frac { dx }{ { 1+x }^{ 2 } } \quad equals }
(a) \frac { \pi }{ 3 }
(b) \frac { 2\pi }{ 3 }
(c) \frac { \pi }{ 6 }
(d) \frac { \pi }{ 12 }
Solution:
Maths NCERT Class 12 Solutions Ex 7.9 Q 21

Question 22.
\int _{ 0 }^{ \frac { 2 }{ 3 } }{ \frac { dx }{ 4+{ 9x }^{ 2 } } equals }
(a) \frac { \pi }{ 6 }
(b) \frac { \pi }{ 12 }
(c) \frac { \pi }{ 24 }
(d) \frac { \pi }{ 4 }
Solution:
Maths NCERT Class 12 Solutions Ex 7.9 Q 22

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