MY CART (5)

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

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
Menu
aditya suman Grade: 12
        

evaluate dx/1+x^4

6 years ago

Answers : (1)

vikas askiitian expert
510 Points
										

I = 1/1+x4 dx


2I =  2/1+x4 dx


divide num & denominator by x2


    =2/x2 /(x2+1/x2) dx


    =[1/x2+1 + 1/x2-1 ]/(x2+1/x2) dx


    =(1/x2+1)dx/x2+1/x2  +  (1/x2-1)dx/(x2+1/x2)


    =(1+1/x2)dx/{(x-1/x)2 + 2} + -(1-1/x2)dx/{(x+1/x)2 - 2}


               I                                          II


put x-1/x = t in first &  x+1/x = u in second & then 


2I =         dt/t2+2                 +          -du/u2-2


2I =         tan-1(t/21/2) / 21/2        +  -log(u-21/2/u+21/2)/81/2 + C


now put  t , u in above eq...

6 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies
  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: Rs. 15,900
  • View Details

Ask Experts

Have any Question? Ask Experts

Post Question

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