NCERT Solutions for Class 12 Maths Chapter 7 Integrals Ex 7.4 are part of NCERT Solutions for Class 12 Maths. Here we have given NCERT Solutions for Class 12 Maths Chapter 7 Integrals Ex 7.4.
- Integrals Class 12 Ex 7.1
- Integrals Class 12 Ex 7.2
- Integrals Class 12 Ex 7.3
- Integrals Class 12 Ex 7.5
- Integrals Class 12 Ex 7.6
- Integrals Class 12 Ex 7.7
- Integrals Class 12 Ex 7.8
- Integrals Class 12 Ex 7.9
- Integrals Class 12 Ex 7.10
- Integrals Class 12 Ex 7.11
Board | CBSE |
Textbook | NCERT |
Class | Class 12 |
Subject | Maths |
Chapter | Chapter 7 |
Chapter Name | Integrals |
Exercise | Ex 7.4 |
Number of Questions Solved | 25 |
Category | NCERT Solutions |
NCERT Solutions for Class 12 Maths Chapter 7 Integrals Ex 7.4
Integrate the functions in exercises 1 to 23
Ex 7.4 Class 12 Maths Question 1.
Solution:
Let x3 = t ⇒ 3x²dx = dt
= tan-1 (x3)+c
Ex 7.4 Class 12 Maths Question 2.
Solution:
Ex 7.4 Class 12 Maths Question 3.
Solution:
put (2-x)=t
so that -dx=dt
⇒ dx=-dt
Ex 7.4 Class 12 Maths Question 4.
Solution:
Ex 7.4 Class 12 Maths Question 5.
Solution:
Put x²=t,so that 2x dx=dt
⇒x dx =
Ex 7.4 Class 12 Maths Question 6.
Solution:
put x3 = t,so that 3x²dx = dt
Ex 7.4 Class 12 Maths Question 7.
Solution:
put x²-1 = t,so that 2x dx = dt
Ex 7.4 Class 12 Maths Question 8.
Solution:
put x3 = t
so that 3x2dx = dt
Ex 7.4 Class 12 Maths Question 9.
Solution:
let tanx = t
sec x²dx = dt
Ex 7.4 Class 12 Maths Question 10.
Solution:
Ex 7.4 Class 12 Maths Question 11.
Solution:
Ex 7.4 Class 12 Maths Question 12.
Solution:
Ex 7.4 Class 12 Maths Question 13.
Solution:
Ex 7.4 Class 12 Maths Question 14.
Solution:
Ex 7.4 Class 12 Maths Question 15.
Solution:
Ex 7.4 Class 12 Maths Question 16.
Solution:
put 2x²+x-3=t
so that (4x+1)dx=dt
Ex 7.4 Class 12 Maths Question 17.
Solution:
Ex 7.4 Class 12 Maths Question 18.
Solution:
put 5x-2=A(1+2x+3x²)+B
⇒ 6A=5, A=, B=
Ex 7.4 Class 12 Maths Question 19.
Solution:
Ex 7.4 Class 12 Maths Question 20.
Solution:
Ex 7.4 Class 12 Maths Question 21.
Solution:
Ex 7.4 Class 12 Maths Question 22.
Solution:
Ex 7.4 Class 12 Maths Question 23.
Solution:
Ex 7.4 Class 12 Maths Question 24.
(a) xtan-1(x+1)+c
(b) (x+1)tan-1x+c
(c) tan-1(x+1)+c
(d) tan-1x+c
Solution:
(b)
= (x+1)tan-1x+c
Ex 7.4 Class 12 Maths Question 25.
(a)
(b)
(c)
(d)
Solution:
(b)
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