NCERT Solutions for Class 12 Maths Chapter 7 Integrals Ex 7.6 are part of NCERT Solutions for Class 12 Maths. Here we have given NCERT Solutions for Class 12 Maths Chapter 7 Integrals Ex 7.6.
- Integrals Class 12 Ex 7.1
- Integrals Class 12 Ex 7.2
- Integrals Class 12 Ex 7.3
- Integrals Class 12 Ex 7.4
- Integrals Class 12 Ex 7.5
- 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 7.6 |
Number of Questions Solved | 24 |
Category | NCERT Solutions |
NCERT Solutions for Class 12 Maths Chapter 7 Integrals Ex 7.6
Integrate the functions in Exercises 1 to 22.
Ex 7.6 Class 12 Maths Question 1.
x sinx
Solution:
By part integration
∫x sinx dx = x(-cosx) – ∫1(-cosx)dx
=-x cosx + ∫cosxdx
=-x cosx + sinx + c
Ex 7.6 Class 12 Maths Question 2.
x sin3x
Solution:
∫x sin3x dx =
Ex 7.6 Class 12 Maths Question 3.
Solution:
Ex 7.6 Class 12 Maths Question 4.
x logx
Solution:
Ex 7.6 Class 12 Maths Question 5.
x log2x
Solution:
Ex 7.6 Class 12 Maths Question 6.
Solution:
Ex 7.6 Class 12 Maths Question 7.
Solution:
Ex 7.6 Class 12 Maths Question 8.
Solution:
Ex 7.6 Class 12 Maths Question 9.
Solution:
let I =
Ex 7.6 Class 12 Maths Question 10.
Solution:
Ex 7.6 Class 12 Maths Question 11.
Solution:
Ex 7.6 Class 12 Maths Question 12.
x sec²x
Solution:
∫x sec²x dx =x(tanx)-∫1.tanx dx
= x tanx+log cosx+c
Ex 7.6 Class 12 Maths Question 13.
Solution:
Ex 7.6 Class 12 Maths Question 14.
x(logx)²
Solution:
∫x(logx)² dx
Ex 7.6 Class 12 Maths Question 15.
(x²+1)logx
Solution:
∫(x²+1)logx dx
Ex 7.6 Class 12 Maths Question 16.
Solution:
Ex 7.6 Class 12 Maths Question 17.
Solution:
Ex 7.6 Class 12 Maths Question 18.
Solution:
Ex 7.6 Class 12 Maths Question 19.
Solution:
put
Ex 7.6 Class 12 Maths Question 20.
Solution:
Ex 7.6 Class 12 Maths Question 21.
Solution:
let
Ex 7.6 Class 12 Maths Question 22.
Solution:
Put x = tan t
so that dx = sec² t dt
Choose the correct answer in exercise 23 and 24
Ex 7.6 Class 12 Maths Question 23.
(a)
(b)
(c)
(d)
Solution:
(a) let x³ = t
⇒3x² dx = dt
Ex 7.6 Class 12 Maths Question 24.
(a)
(b)
(c)
(d)
Solution:
(b)
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