Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Please Solve R.D.Sharma Class 12 Chapter 18 Indefinite Integrals Exercise Revision Exercise Question 71 Maths Textbbok Solution.

Please Solve R.D.Sharma Class 12 Chapter 18 Indefinite Integrals Exercise  Revision Exercise Question 71 Maths Textbbok Solution.

Answers (1)

Answer:

-\frac{\cot 2 x}{2}-\frac{\cot ^{8} 2 x}{6}+c

Hint:

To solve the given question we will split the cosec? 2x into cosec² 2x cosec² 2x.

Given:

\int \operatorname{cosec}^{4} 2 x d x

Solution:

=\int \operatorname{cosec}^{4} 2 x d x

=\int \operatorname{cosec}^{2} 2 x \operatorname{cosec}^{2} 2 x d x

=\int\left(1+\cot ^{2} 2 x\right) \operatorname{cosec}^{2} 2 x d x

p u t \cot 2 x=t=>-\operatorname{cosec}^{2} 2 x \cdot 2 d x=d t

=\frac{-1}{2} \int\left(1+t^{2}\right) \cdot d t

=-\frac{1}{2} t-\frac{t^{3}}{6}+c

=-\frac{\cot 2 x}{2}-\frac{\cot ^{3} 2 x}{6}+c

 

Posted by

infoexpert21

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE Class 10, 12 board exams 2025 from April 7 to 11 for sports students
anam-khan

CBSE Class 12 history paper 2025 moderately difficult, tested students’ understanding
anam-khan

CBSE Class 12 Computer Science Exam Analysis 2025: Paper 'moderate', but 'tougher' than last three years

Latest Question