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

Total Price: Rs.

There are no items in this cart.
Continue Shopping
Grade: 12
Please solve this............. the correct answer is pi/8.
Question is attatched.
5 months ago

Answers : (1)

Aditya Gupta
1670 Points
this ques is an application of the property that integral of f(x) from a to b is equal to integral of f(a+b – x) from a to b.
so let I= int 0_pi/2 s^3*c/(s^4+c^4) dx where s= sinx and c=cosx
now I= int 0_pi/2 c^3*s/(c^4+s^4) dx where we have replaced x by 0+pi/2 – x
now add the two eqns
2I= int 0_pi/2 sc*(s^2+c^2)/(s^4+c^4) dx=int 0_pi/2 sc/(s^4+c^4) dx
now put y=s so that dy= c dx
2I= int 0_1 y/(y^4+(1 – y^2)^2) dy
now put y^2= z so that 2ydy= dz
hence 4I= int 0_1 dz/(z^2+(1 – z)^2) dz=  int 0_1 dz/(2z^2 – 2z+1) dz
now solving this is beyond easy as this is a standard form (1/quadratic). so you can do it to get the final answer as pi/8
5 months ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies

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

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

Ask Experts

Have any Question? Ask Experts

Post Question

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