NCERT Solutions for Class 12 Maths Chapter 7 Integers Ex 7.3

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NCERT Solutions for Class 12 Maths Chapter 7 Integers Ex 7.3

Get Free NCERT Solutions for Class 12 Maths Chapter 7 Integers Ex 7.3 PDF. Integration Class 12 Maths NCERT Solutions are extremely helpful while doing your homework. Exercise 7.3 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 7.3 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 7.3

NCERT Solutions for Class 12 Maths Chapter 7 Integers Ex 7.3 are part of NCERT Solutions for Class 12 Maths. Here we have given Class 12 Maths NCERT Solutions Integrals Ex 7.3

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:
Ex 7.3 Class 12 Maths NCERT Solutions Q 2
Question 3.
∫cos2x cos4x cos6x dx
Solution:
Ex 7.3 Class 12 Maths NCERT Solutions Q 3
Question 4.
∫sin3(2x+1)dx
Solution:
Ex 7.3 Class 12 Maths NCERT Solutions Q 4
Question 5.
sin3x cos3x
Solution:
NCERT Solutions Integration Chapter 7 Ex 7.3 Q 5
Question 6.
sinx sin2x sin3x
Solution:
NCERT Solutions Integration Chapter 7 Ex 7.3 Q 6
Question 7.
sin 4x sin 8x
Solution:
NCERT Solutions Integration Chapter 7 Ex 7.3 Q 7
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:
Class 12 Maths Chapter 7 Solutions Ex 7.3 Q 10
Question 11.
cos4 2x
Solution:
Class 12 Maths Chapter 7 Solutions Ex 7.3 Q 11
Question 12.
\frac { { sin }^{ 2 }x }{ 1+cosx }
Solution:
Class 12 Maths Chapter 7 Solutions Ex 7.3 Q 12
Question 13.
\frac { cos2x-cos2\alpha }{ cosx-cos\alpha }
Solution:
Class 12 Maths Chapter 7 Solutions Ex 7.3 Q 13
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:
Chapter 7 Class 12 Maths NCERT Solutions Ex 7.3 Q 15
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:
NCERT Solutions for Class 12 Maths Ex 7.3 Q 17
Question 18.
\frac { cos2x+{ 2sin }^{ 2 }x }{ { cos }^{ 2 }x }
Solution:
NCERT Solutions for Class 12 Maths Ex 7.3 Q 18
Question 19.
\frac { 1 }{ sinx{ cos }^{ 3 }x }
Solution:
NCERT Solutions for Class 12 Maths Ex 7.3 Q 19
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:
Class 12 Maths NCERT Solutions Chapter 7 Ex 7.3 Q 21
Class 12 Maths NCERT Solutions Chapter 7 Ex 7.3 Q 21 - i
Question 22.
\int { \frac { 1 }{ cos(x-a)cos(x-b) } dx }
Solution:
Class 12 Maths NCERT Solutions Chapter 7 Ex 7.3 Q 22
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.xx)+c
(b) tan(xex)+c
(c) tan(ex)+c
(d) cot ex+c
Solution:
NCERT Solution Class 12 Maths Ex 7.3 Q 24

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