# NCERT Solutions for Class 12 Maths Chapter 7 Integers Ex 7.7

Get Free NCERT Solutions for Class 12 Maths Chapter 7 Integers Ex 7.7 PDF. Integration Class 12 Maths NCERT Solutions are extremely helpful while doing your homework. Exercise 7.7 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 7.7 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 7.7

NCERT Solutions for Class 12 Maths Chapter 7 Integers Ex 7.7 are part of NCERT Solutions for Class 12 Maths. Here we have given Class 12 Maths NCERT Solutions Integrals Ex 7.7

NCERT Solutions for Class 12 Maths Chapter 7 Ex 7.7
Integral the function in exercises 1 to 9

Question 1.
$\sqrt { 4-{ x }^{ 2 } }$
Solution:

Question 2.
$\sqrt { 1-{ 4x }^{ 2 } }$
Solution:

Question 3.
$\sqrt { { x }^{ 2 }+4x+6 }$
Solution:

Question 4.
$\sqrt { { x }^{ 2 }+4x+1 }$
Solution:

Question 5.
$\sqrt { 1-4x-{ x }^{ 2 } }$
Solution:

Question 6.
$\sqrt { { x }^{ 2 }+4x-5 }$
Solution:

Question 7.
$\sqrt { 1+3x-{ x }^{ 2 } }$
Solution:

Question 8.
$\sqrt { { x }^{ 2 }+3x }$
Solution:

Question 9.
$\sqrt { 1+\frac { { x }^{ 2 } }{ 9 } }$
Solution:

Choose the correct answer in the Exercises 10 to 11:

Question 10.
$\int { \sqrt { 1+{ x }^{ 2 } } } dx\quad is\quad equal\quad to$
(a) $\frac { x }{ 2 } \sqrt { 1+{ x }^{ 2 } } +\frac { 1 }{ 2 } log|x+\sqrt { 1+{ x }^{ 2 } } |+c$
(b) $\frac { 2 }{ 3 } { \left( 1+{ x }^{ 2 } \right) }^{ \frac { 3 }{ 2 } }+c$
(c) $\frac { 2 }{ 3 } x{ \left( 1+{ x }^{ 2 } \right) }^{ \frac { 3 }{ 2 } }+c$
(d) $\frac { { x }^{ 2 } }{ 2 } \sqrt { 1+{ x }^{ 2 } } +\frac { 1 }{ 2 } { x }^{ 2 }log\left| x+\sqrt { 1+{ x }^{ 2 } } \right| +c$
Solution:

Question 11.
$\int { \sqrt { { x }^{ 2 }-8x+7 } } dx\quad is\quad equal\quad to$

Solution:

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