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 99 Maths Textbook Solution.

Explain Solution R.D. Sharma Class 12 Chapter 18 Indefinite Integrals Exercise Revision Exercise  Question 99 Maths Textbook Solution.

Answers (1)

Answer:

-\log \frac{(1-x)}{x}-\log |x|+\log |1-x|+c

Hint:

You must know about ILATE

Given:

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

Solution:

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

\left(\frac{1}{x^{2}}\right) \log \int(1-x) d x \quad \text { (ILATE) }

\log (1-x)\left(-\frac{1}{x}\right)\left(-\frac{1}{1-x}\right)\left(-\frac{1}{x}\right) d x

-\log \frac{(1-x)}{x}-\int \frac{1}{(1-x) x} d x

-\log \frac{(1-x)}{x}-\left(\int \frac{1}{x}+\frac{1}{(1-x)}\right) d x

-\log \frac{(1-x)}{x}-\log |x|+\log |1-x|+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 10th, 12th results 2024 ‘shortly’; board issues Digilocker access code for students
anam-khan

CBSE Class 10, 12 results 2024 likely after May 20, says result portal
anam-khan

CBSE Result Date 2024 after May 20 at cbse.nic.in; Know Class 10th, 12th passing marks

Latest Question