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
Grade: 12
        

please help me to solve:


1) integral 2X *X / (X *X +1)(X *X +1)   dx


2)  integral dx/( X *X*X*X+X *X +2)

7 years ago

Answers : (1)

vikas askiitian expert
509 Points
							

1)        2x2/(x2+1)2 dx

     =  [2(x2+1) - 2]dx/(x2+1)2

     =[2/(x2+1) - 2/(x2+1)2]dx

I = 2tan-1x - 2dx/(x2+1)2

I - 2tan-1x = -2dx /(x2+1)2       .........................1

taking RHS

put x = tan@ so

     dx = sec2@d@

now

        RHS = -2d@/sec2@  =  -2cos2@ = -(1+cos2@)d@

               =-(@ + sin2@ /2) + c

               =- [ tan-1x + sin(2tan-1x)/2] + c

put RHS in eq 1 then

 I = tan-1x - sin(2tan-1x) / 2  + c    or

 I = tan-1x -  x/1+x2  +  c

7 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies

Get Extra Rs. 3,180 off

COUPON CODE: SELF20


Course Features

  • 731 Video Lectures
  • Revision Notes
  • Previous Year Papers
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Test paper with Video Solution


Course Features

  • 51 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions


Get Extra Rs. 339 off

COUPON CODE: SELF20

Ask Experts

Have any Question? Ask Experts

Post Question

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