NCERT Solutions for Class 12 Maths Chapter 7 Integers Ex 7.6

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NCERT Solutions for Class 12 Maths Chapter 7 Integers Ex 7.6

Get Free NCERT Solutions for Class 12 Maths Chapter 7 Integers Ex 7.6 PDF. Integration Class 12 Maths NCERT Solutions are extremely helpful while doing your homework. Exercise 7.6 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 7.6 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 7.6

NCERT Solutions for Class 12 Maths Chapter 7 Integers Ex 7.6 are part of NCERT Solutions for Class 12 Maths. Here we have given Class 12 Maths NCERT Solutions Integrals Ex 7.6

Integrate the functions in Exercises 1 to 22.
Question 1.
x sinx
Solution:
Maths Class 12 NCERT Solutions Chapter 7 Ex 7.6 Q 1
Question 2.
x sin3x
Solution:
Maths Class 12 NCERT Solutions Chapter 7 Ex 7.6 Q 2
Question 3.
{ x }^{ 2 }{ e }^{ x }
Solution:
Maths Class 12 NCERT Solutions Chapter 7 Ex 7.6 Q 3
Question 4.
x logx
Solution:
Maths Class 12 NCERT Solutions Chapter 7 Ex 7.6 Q 4
Question 5.
x log2x
Solution:
NCERT Maths Solution Class 12 Ex 7.6 Q 5
Question 6.
{ x }^{ 2 }logx
Solution:
NCERT Maths Solution Class 12 Ex 7.6 Q 6
Question 7.
x\quad { sin }^{ -1 }x
Solution:
NCERT Maths Solution Class 12 Ex 7.6 Q 7
Question 8.
x\quad { tan }^{ -1 }x
Solution:
NCERT Maths Solution Class 12 Ex 7.6 Q 8
Question 9.
x\quad { cos }^{ -1 }x
Solution:
Class 12 Maths NCERT Solution Ex 7.6 Q 9
Class 12 Maths NCERT Solution Ex 7.6 Q 9 - i
Question 10.
{ (sin }^{ -1 }{ x })^{ 2 }
Solution:
Class 12 Maths NCERT Solution Ex 7.6 Q 10
Question 11.
\frac { x\quad { cos }^{ -1 }x }{ \sqrt { 1-{ x }^{ 2 } } }
Solution:
Class 12 Maths NCERT Solution Ex 7.6 Q 11
Question 12.
x sec²x
Solution:
Class 12 Maths NCERT Solution Ex 7.6 Q 12
Question 13.
{ ta }n^{ -1 }x
Solution:
Class 12 Maths NCERT Solution Q 13
Question 14.
x(logx)²
Solution:
Class 12 Maths NCERT Solution Q 14
Question 15.
(x²+1)logx
Solution:
Class 12 Maths NCERT Solution Q 15
Class 12 Maths NCERT Solution Q 15 - i
Question 16.
{ e }^{ x }(sinx+cosx)
Solution:
Class 12 Maths NCERT Solution Q 16
Question 17.
\frac { { xe }^{ x } }{ { (1+x) }^{ 2 } }
Solution:
Ch 7 Maths Class 12 Ex 7.6 Q 17
Question 18.
\frac { { e }^{ x }(1+sinx) }{ 1+cosx }
Solution:
Ch 7 Maths Class 12 Ex 7.6 Q 18
Ch 7 Maths Class 12 Ex 7.6 Q 18 - i
Question 19.
{ e }^{ x }\left( \frac { 1 }{ x } -\frac { 1 }{ { x }^{ 2 } } \right)
Solution:
Ch 7 Maths Class 12 Ex 7.6 Q 19
Question 20.
\frac { { (x-2)e }^{ x } }{ { (x-1) }^{ 3 } }
Solution:
Ch 7 Maths Class 12 Ex 7.6 Q 20
Question 21.
{ e }^{ 2x }sinx
Solution:
Ch 7 Maths Class 12 Ex 7.6 Q 21
Question 22.
{ sin }^{ -1 }\left( \frac { 2x }{ 1+{ x }^{ 2 } } \right)
Solution:
Maths Class 12 Chapter 7 NCERT Solutions Ex 7.6 Q 22

Choose the correct answer in exercise 23 and 24

Question 23.
\int { { x }^{ 2 }{ e }^{ { x }^{ 3 } } } dx\quad equals
(a) \frac { 1 }{ 3 } { e }^{ { x }^{ 3 } }+c
(b) \frac { 1 }{ 3 } +{ e }^{ { x }^{ 2 } }+c
(c) \frac { 1 }{ 2 } { e }^{ { x }^{ 3 } }+c
(d) \frac { 1 }{ 2 } { e }^{ { x }^{ 2 } }+c
Solution:
Maths Class 12 Chapter 7 NCERT Solutions Ex 7.6 Q 23
Question 24.
\int { { e }^{ x }secx(1+tanx) } dx\quad equals
(a) { e }^{ x }cosx+c
(b) { e }^{ x }secx+c
(c) { e }^{ x }sinx+c
(d) { e }^{ x }tanx+c
Solution:
NCERT Maths Solutions for Class 12 Ex 7.6 Q 24

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