NCERT Solutions for Class 12 Maths Chapter 7 Ex 7.6

NCERT Solutions for Class 12 Maths Chapter 7 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:

Question 3.
${ x }^{ 2 }{ e }^{ x }$
Solution:

Question 4.
x logx
Solution:

Question 5.
x log2x
Solution:
NCERT Maths Solution Class 12 Ex 7.6 Q 5
Question 6.
${ x }^{ 2 }logx$
Solution:

Question 7.
$x\quad { sin }^{ -1 }x$
Solution:

Question 8.
$x\quad { tan }^{ -1 }x$
Solution:

Question 9.
$x\quad { cos }^{ -1 }x$
Solution:
Class 12 Maths NCERT Solution Ex 7.6 Q 9

Question 10.
${ (sin }^{ -1 }{ x })^{ 2 }$
Solution:

Question 11.
$\frac { x\quad { cos }^{ -1 }x }{ \sqrt { 1-{ x }^{ 2 } } }$
Solution:

Question 12.
x sec²x
Solution:

Question 13.
${ ta }n^{ -1 }x$
Solution:

Question 14.
x(logx)²
Solution:
Class 12 Maths NCERT Solution Q 14
Question 15.
(x²+1)logx
Solution:

Question 16.
${ e }^{ x }(sinx+cosx)$
Solution:

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:

Question 19.
${ e }^{ x }\left( \frac { 1 }{ x } -\frac { 1 }{ { x }^{ 2 } } \right)$
Solution:

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:

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