Hello Students! In this post, you will find the complete NCERT Solutions for Maths Class 12 Exercise 7.6.
You can download the PDF of NCERT Books Maths Chapter 7 for your easy reference while studying NCERT Solutions for Maths Class 12 Exercise 7.6.
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NCERT Solutions for Maths Class 12 Exercise 7.1
NCERT Solutions for Maths Class 12 Exercise 7.2
NCERT Solutions for Maths Class 12 Exercise 7.3
NCERT Solutions for Maths Class 12 Exercise 7.4
NCERT Solutions for Maths Class 12 Exercise 7.5
NCERT Solutions for Maths Class 12 Exercise 7.7
NCERT Solutions for Maths Class 12 Exercise 7.8
NCERT Solutions for Maths Class 12 Exercise 7.9
NCERT Solutions for Maths Class 12 Exercise 7.10
NCERT Solutions for Maths Class 12 Exercise 7.6
Integrate the
functions in Exercises 1 to 22.
Maths Class
12 Ex 7.6 Question 1.
x sin x
Solution:
Integrating by
parts, we get
∫ x sin x dx = x(–cos x) – ∫ 1 (–cos x) dx
= –x cos x + ∫ cos x dx
= –x cos x + sin x +
c
Maths Class
12 Ex 7.6 Question 2.
x sin 3x
Solution:
Maths Class
12 Ex 7.6 Question 3.
x2ex
Solution:
Maths Class
12 Ex 7.6 Question 4.
x log x
Solution:
Maths Class
12 Ex 7.6 Question 5.
x log 2x
Solution:
Maths Class
12 Ex 7.6 Question 6.
x2 log x
Solution:
Maths Class
12 Ex 7.6 Question 7.
x sin-1 x
Solution:
Maths Class
12 Ex 7.6 Question 8.
x tan-1 x
Solution:
Maths Class
12 Ex 7.6 Question 9.
x cos-1 x
Solution:
Maths Class
12 Ex 7.6 Question 10.
(sin-1 x)2
Solution:
Maths Class
12 Ex 7.6 Question 11.
Solution:
x sec² x
Solution:
∫ x sec² x dx = x
(tan x) – ∫ 1 . tan x dx
= x tan x + log cos
x + c
Maths Class
12 Ex 7.6 Question 13.
tan-1 x
Solution:
Maths Class
12 Ex 7.6 Question 14.
x (log x)²
Solution:
Maths Class
12 Ex 7.6 Question 15.
(x² + 1) log x
Solution:
Maths Class
12 Ex 7.6 Question 16.
ex (sin x + cos x)
Solution:
Maths Class
12 Ex 7.6 Question 17.
Solution:
Solution:
Solution:
Solution:
e2x sin x
Solution:
Maths Class
12 Ex 7.6 Question 22.
Solution:
Putting x = tan t
so that dx = sec² t dt
Maths Class
12 Ex 7.6 Question 23.
Solution:
Hence, the correct answer is option (A).
Maths Class
12 Ex 7.6 Question 24.
Solution:
Hence, the correct answer is option
(B).
Related Links:
NCERT Solutions for Maths Class 12 Exercise 7.1
NCERT Solutions for Maths Class 12 Exercise 7.2
NCERT Solutions for Maths Class 12 Exercise 7.3
NCERT Solutions for Maths Class 12 Exercise 7.4
NCERT Solutions for Maths Class 12 Exercise 7.5
NCERT Solutions for Maths Class 12 Exercise 7.7
NCERT Solutions for Maths Class 12 Exercise 7.8