NCERT Solutions for Maths Class 12 Exercise 7.6

# NCERT Solutions for Maths Class 12 Exercise 7.6

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.

All the schools affiliated with CBSE, follow the NCERT books for all subjects. You can check your syllabus from NCERT Syllabus for Mathematics Class 12.

If you want to recall All Maths Formulas for Class 12, you can find it by clicking this link.

If you want to recall All Maths Formulas for Class 11, you can find it by clicking this link.

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:

Maths Class 12 Ex 7.6 Question 12.

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:

Maths Class 12 Ex 7.6 Question 18.

Solution:

Maths Class 12 Ex 7.6 Question 19.

Solution:

Maths Class 12 Ex 7.6 Question 20.

Solution:

Maths Class 12 Ex 7.6 Question 21.

e2x sin x

Solution:

Maths Class 12 Ex 7.6 Question 22.

Solution:
Putting x = tan t so that dx = sec² t dt

Choose the correct answer in exercises 23 and 24

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).

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