Use Coupon: CART20 and get 20% off on all online Study Material

Total Price: Rs.

There are no items in this cart.
Continue Shopping
gurvinder singh sandhu Grade: 12

integrate 1/(x^4 +1)

7 years ago

Answers : (3)

Anil Pannikar AskiitiansExpert-IITB
85 Points

Dear Gurvinder,


 1 / ( x4+1) = (x2+1) - (x2-1) ] /2(x4+1)  dx

(x2+1)/2(x4+1) dx = (1+ 1/x2)/2[(x-1/x)2 + 2]  dx      ( divide by x2 and add 2 and -2 in denominator to make the whole square)

now pur x-1/x = y or (1+ 1/x2)dx = dy

put above value in integral and solve

similarly, solve intergral : -(x2-1)/2(x4+1)  dx


Please feel free to ask your queries here. We are all IITians and here to help you in your IIT JEE preparation.

All the best.

Win exciting gifts by answering the questions on Discussion Forum. So help discuss any query on askiitians forum and become an Elite Expert League askiitian.

Now you score 5+15 POINTS by uploading your Pic and Downloading the Askiitians Toolbar  respectively : Click here to download the toolbar..


Askiitians Expert

Anil Pannikar

IIT Bombay

7 years ago
Devasish Bindani
45 Points



=1/2∫(1+1/x2)/(x2+1/x2) + 1/2∫(1/x2-1)/1/x2+x2)

putting x-1/x =z and 1+ 1/x2=dz for first term ie [1/2∫(1+1/x2)/(x2+1/x2)] and in second termx+1/x as t and 1-1/x2 as dt

then on substituting and solving we get 1/23/2tan-11/21/2(x-1/x)-1/25/2log[(x2-2x1/2+1)/(x2+2x1/2+1)] got it all the best

7 years ago
Vivek Nigam
28 Points

sorry no idea :(

7 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies
  • Complete Physics Course - Class 12
  • OFFERED PRICE: Rs. 2,756
  • View Details
  • Complete Physics Course - Class 11
  • OFFERED PRICE: Rs. 2,968
  • View Details

Ask Experts

Have any Question? Ask Experts

Post Question

Answer ‘n’ Earn
Attractive Gift
To Win!!! Click Here for details