NCERT Solutions for Class 12 Maths Chapter 7 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:
Maths NCERT Class 12 Ex 7.7 Q 1
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:
NCERT Solutions Class 12 Ex 7.7 Q 6
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:
Exercise 7.7 Class 12 Maths Q 10
Question 11.
$\int { \sqrt { { x }^{ 2 }-8x+7 } } dx\quad is\quad equal\quad to$
NCERT Solutions for Class 12 Maths Chapter 7 Integrals 11
Solution: