Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Integrate the functions 2x /1 + x square

 Q1   Integrate the functions  \frac{2x}{1+ x ^2}

Answers (1)

best_answer

Given to integrate \frac{2x}{1+ x ^2} function,

Let us assume 1+x^2 =t

we get, 2xdx = dt

\implies \int \frac{2x}{1+x^2} dx = \int \frac{1}{t} dt

= \log|t| +C

= \log|1+x^2| +C    now back substituting the value of t = 1+x^2

as (1+x^2) is positive we can write 

= \log(1+x^2) +C

Posted by

Divya Prakash Singh

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 Supplementary Result 2025 LIVE: Class 10, 12 compartment result soon on results.cbse.nic.in; updates
anam-khan

CBSE Supplementary Result 2025 LIVE: Class 10, 12 supplementary result soon on results.cbse.nic.in
anam-khan

CBSE Class 12 revaluation, verification results 2025 out at results.cbse.nic.in

Latest Question