Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Need solution for RD Sharma Maths Class 12 Chapter 18 Indefinite Integrals Excercise 18.6 Question 7

Need solution for RD Sharma Maths Class 12 Chapter 18 Indefinite Integrals Excercise 18.6 Question 7

Answers (1)

Answer:  

\frac{\mathrm{x}}{2}+\frac{\sin 2 \mathrm{nx}}{4 \mathrm{n}}+\mathrm{c}

Hint:

\cos 2 x=2 \cos ^{2} x-1

Given:

Let  \mathrm{I}=\int \cos ^{2} \mathrm{n} \mathrm{xdx}
Solution:

\begin{aligned} &\mathrm{I}=\int \cos ^{2} \mathrm{n} \mathrm{xdx} \\ &=\frac{1}{2} \int(1+\cos 2 \mathrm{nx}) \mathrm{dx} \\ &=\frac{1}{2}\left[\mathrm{x}+\frac{\sin 2 \mathrm{n} \mathrm{x}}{2 \mathrm{n}}\right]+\mathrm{c} \\ &=\frac{\mathrm{x}}{2}+\frac{\sin 2 \mathrm{nx}}{4 \mathrm{n}}+\mathrm{c} \end{aligned}

So the answer is  =\frac{\mathrm{x}}{2}+\frac{\sin 2 \mathrm{nx}}{4 \mathrm{n}}+\mathrm{c}

 

Posted by

infoexpert27

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 sample paper 2024-25, marking scheme out for skill education subjects
anam-khan

CBSE to overhaul internal assessment system, develop framework with British Council
anam-khan

65 lakh students didn't clear Class 10, 12 board exams last year: Education ministry

Latest Question