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

• Integration Formulas
• Integrals Class 12 Ex 7.1
• Integrals Class 12 Ex 7.1 in Hindi Medium
• Integrals Class 12 Ex 7.2
• Integrals Class 12 Ex 7.2 in Hindi Medium
• Integrals Class 12 Ex 7.3
• Integrals Class 12 Ex 7.3 in Hindi Medium
• Integrals Class 12 Ex 7.4
• Integrals Class 12 Ex 7.4 in Hindi Medium
• Integrals Class 12 Ex 7.5
• Integrals Class 12 Ex 7.5 in Hindi Medium
• Integrals Class 12 Ex 7.6
• Integrals Class 12 Ex 7.6 in Hindi Medium
• Integrals Class 12 Ex 7.7
• Integrals Class 12 Ex 7.7 in Hindi Medium
• Integrals Class 12 Ex 7.8
• Integrals Class 12 Ex 7.8 in Hindi Medium
• Integrals Class 12 Ex 7.9
• Integrals Class 12 Ex 7.9 in Hindi Medium
• Integrals Class 12 Ex 7.10
• Integrals Class 12 Ex 7.10 in Hindi Medium
• Integrals Class 12 Ex 7.11
• Integrals Class 12 Ex 7.11 in Hindi Medium
• Integrals Class 12 Miscellaneous Exercise
• RD Sharma Class 12 Integrals
• NCERT Exemplar Class 12 Maths Integrals
• Integrals Class 12 Notes Maths Chapter 7
• Important Questions Class 12 Maths Integrals
• JEE Main Mathematics Definite and Indefinite 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:

Question 2.
sin3x cos4x
Solution:

Question 3.
∫cos2x cos4x cos6x dx
Solution:

Question 4.
∫sin³(2x+1)dx
Solution:

Question 5.
sin³x cos³x
Solution:

Question 6.
sinx sin2x sin3x
Solution:

Question 7.
sin 4x sin 8x
Solution:

Question 8.
\(\frac { 1-cosx }{ 1+cosx }\)
Solution:

Question 9.
\(\frac { cosx }{ 1+cosx }\)
Solution:

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:

Question 15.
\(\int { { tan }^{ 3 }2x\quad sec2x\quad dx=I } \)
Solution:

Question 16.
tan⁴x
Solution:

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:

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:

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:

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

प्रश्न 2.
sin 3x cos 4x dx
हल-

प्रश्न 3.
cos 2x cos 4x cos 6x dx
हल-
cos 2x cos 4x cos 6x dx

प्रश्न 4.
sin³ (2x + 1)
हल-
माना I = ∫sin³ (2x + 1) dx

प्रश्न 5.
sin³x cos³x
हल-

प्रश्न 6.
sinx sin2x sin3x
हल-
माना I = ∫sinx sin2x sin3x

प्रश्न 7.
sin 4x sin 8x
हल-

प्रश्न 8.

हल-

प्रश्न 9.

हल-

प्रश्न 10.
sin x⁴ dx
हल-

प्रश्न 11.
cos⁴ 2x
हल-

प्रश्न 12.

हल-
माना

= ∫(1-cosx)dx = ∫1 dx – ∫ cosx dx
= x – sinx +C

प्रश्न 13.

हल-

प्रश्न 14.

हल-

प्रश्न 15.
tan³ 2x sec 2x
हल-

प्रश्न 16.
tan⁴ x
हल-

प्रश्न 17.

हल-

प्रश्न 18.

हल-

प्रश्न 19.

हल-

प्रश्न 20.

हल-

प्रश्न 21.
sin^-1 (cosx)
हल-

प्रश्न 22.

हल-

प्रश्न 23.

हल-

प्रश्न 24.

हल-