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.

Free download NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.3 Integrals PDF in Hindi Medium as well as in English Medium for CBSE, Uttarakhand, Bihar, MP Board, Gujarat Board, BIE, Intermediate and UP Board students, who are using NCERT Books based on updated CBSE Syllabus for the session 2019-20.

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

NCERT Solutions for Class 12 Maths Exercise 7.3 in Hindi

निर्देश- 1 से 22 तक के प्रश्नों में प्रत्येक का समाकलन ज्ञात कीजिए।

प्रश्न 1.
sin² (2x + 5)
हल-
माना I = ∫sin ² (2x + 5) dx
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.3

प्रश्न 2.
sin 3x cos 4x dx
हल-
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.3 in PDF

प्रश्न 3.
cos 2x cos 4x cos 6x dx
हल-
cos 2x cos 4x cos 6x dx
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.3 mcq questions

प्रश्न 4.
sin3 (2x + 1)
हल-
माना I = ∫sin3 (2x + 1) dx
12 Maths ex. 7.3
ex 7.3 integrals

प्रश्न 5.
sin3x cos3x
हल-
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.3 for up board

प्रश्न 6.
sinx sin2x sin3x
हल-
माना I = ∫sinx sin2x sin3x
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.3 for mp board

प्रश्न 7.
sin 4x sin 8x
हल-
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.3 for 2019-2020

प्रश्न 8.
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.3 in Hindi medium
हल-
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.3 free download

प्रश्न 9.
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.3 guide
हल-
NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.3 all question answers

प्रश्न 10.
sin x4 dx
हल-
12 Maths Exercise 7.3

प्रश्न 11.
cos4 2x
हल-
12 Maths Exercise 7.3 sols

प्रश्न 12.
integration problems and solutions pdf
हल-
माना
7.3 class 12
= ∫(1-cosx)dx = ∫1 dx – ∫ cosx dx
= x – sinx +C

प्रश्न 13.
7.3 maths 12
हल-
maths ncert solutions class 12 chapter 7

प्रश्न 14.
class 12 integrals ncert solutions
हल-
maths class 12 chapter 7 ncert solutions

प्रश्न 15.
tan3 2x sec 2x
हल-
definite integral problems and solutions pdf

प्रश्न 16.
tan4 x
हल-
class 12 integrals solutions

प्रश्न 17.
integration maths pdf
हल-
math integration

प्रश्न 18.
ncert solutions maths class 12 chapter 7
हल-
integration problems and solutions

प्रश्न 19.
maths integration class 12
हल-
maths integration class 12

प्रश्न 20.
integration ncert solution
हल-
integration book pdf
integrals class 12 pdf

प्रश्न 21.
sin-1 (cosx)
हल-
solution of integration class 12

प्रश्न 22.
integration by parts examples and solutions pdf
हल-
ncert maths solutions class 12 chapter 7

प्रश्न 23.
maths integration questions and answers
हल-
how to study integration class 12

प्रश्न 24.
integration problems and solutions pdf
हल-
UP Board Solutions for Class 12 Maths Chapter 7 Integrals 24.1