NCERT Solutions for Class 12 Maths Chapter 7 Ex 7.3

Find the integrals of the functions in Exercises 1 to 22.
Question 1.
sin²(2x+5)
Solution:
Ex 7.3 Class 12 Maths NCERT Solutions Q 1
Question 2.
sin3x cos4x
Solution:

Question 3.
∫cos2x cos4x cos6x dx
Solution:

Question 4.
∫sin³(2x+1)dx
Solution:

Question 5.
sin³x cos³x
Solution:
NCERT Solutions Integration Chapter 7 Ex 7.3 Q 5
Question 6.
sinx sin2x sin3x
Solution:

Question 7.
sin 4x sin 8x
Solution:

Question 8.
$\frac { 1-cosx }{ 1+cosx }$
Solution:
chapter 7 maths class 12 NCERT Solutions Ex 7.3 Q 8
Question 9.
$\frac { cosx }{ 1+cosx }$
Solution:
Class 12 Maths Chapter 7 Solutions Ex 7.3 Q 9
Question 10.
∫sinx⁴ dx
Solution:

Question 11.
cos⁴ 2x
Solution:

Question 12.
$\frac { { sin }^{ 2 }x }{ 1+cosx }$
Solution:

Question 13.
$\frac { cos2x-cos2\alpha }{ cosx-cos\alpha }$
Solution:

Question 14.
$\frac { cosx-sinx }{ 1+sin2x }$
Solution:
Chapter 7 Class 12 Maths NCERT Solutions Ex 7.3 Q 14
Question 15.
$\int { { tan }^{ 3 }2x\quad sec2x\quad dx=I }$
Solution:

Question 16.
tan⁴x
Solution:
NCERT Solutions for Class 12 Maths Ex 7.3 Q 16
Question 17.
$\frac { { sin }^{ 3 }x+{ cos }^{ 3 }x }{ { sin }^{ 2 }x{ cos }^{ 2 }x }$
Solution:

Question 18.
$\frac { cos2x+{ 2sin }^{ 2 }x }{ { cos }^{ 2 }x }$
Solution:

Question 19.
$\frac { 1 }{ sinx{ cos }^{ 3 }x }$
Solution:

Question 20.
$\frac { cos2x }{ { (cosx+sinx) }^{ 2 } }$
Solution:
Class 12 Maths NCERT Solutions Chapter 7 Ex 7.3 Q 20
Question 21.
sin^-1 (cos x)
Solution:

Question 22.
$\int { \frac { 1 }{ cos(x-a)cos(x-b) } dx }$
Solution:

Question 23.
$\int { \frac { { sin }^{ 2 }x-{ cos }^{ 2 }x }{ { sin }^{ 2 }x{ cos }^{ 2 }x } } dx\quad is\quad equal\quad to$
(a) tanx+cotx+c
(b) tanx+cosecx+c
(c) -tanx+cotx+c
(d) tanx+secx+c
Solution:
NCERT Solution Class 12 Maths Ex 7.3 Q 23
Question 24.
$\int { \frac { e^{ x }(1+x) }{ cos^{ 2 }({ e }^{ x }.{ x }) } } dx\quad is\quad equal\quad to$
(a) -cot(e.x^x)+c
(b) tan(xe^x)+c
(c) tan(e^x)+c
(d) cot e^x+c
Solution: