Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Explain Solution R.D.Sharma Class 12 Chapter 18 Indefinite Integrals Exercise Revision Exercise Question 116 Maths Textbook Solution.

Explain Solution R.D.Sharma Class 12 Chapter 18 Indefinite Integrals Exercise Revision Exercise  Question 116 Maths Textbook Solution.

Answers (1)

Answer:

2\left[x \sin ^{-1} x+\sqrt{1-x^{2}}\right]+C

Hint: to solve this statement we will suppose x as \sin \theta

Given: \int \cos ^{-1}(1-2 x)^{2} d x

Solution:

\int \cos ^{-1}(1-2 x)^{2} d x

\operatorname{let} x=\sin \theta, d x=\cos \theta d \theta

I=\int \cos ^{-1}\left(1-2 \sin ^{2} \theta\right)^{2} \cos \theta d \theta

I=\int \cos ^{-1}(\cos 2 \theta) \cos \theta d \theta

I=\int 2 \theta \cos \theta d \theta

   \int u v d x=u \int v d x-\int\left[\frac{d u}{d v} \int v d x\right] d x

  I=2\left[\theta \sin \theta-\int \sin \theta d \theta\right]

I=2[\theta \sin \theta+\cos \theta]+c

I=2\left[x \sin ^{-1} x+\sqrt{1-x^{2}}\right]+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 admits Class 12 answer sheet error; assures revised result for affected students
anam-khan

‘Compare and see difference’: Students claim CBSE 12th answer sheet mismatch; allege marks discrepancy
anam-khan

CBSE payment gateway overhaul: Govt orders major fix after transaction glitches

Latest Question