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
s adhithya s Grade:
        

The value of the integral from 0 to (pi/2) of [f(x)/f(x)+f((pi/2)-x)] is?

7 years ago

Answers : (1)

AskiitiansExpert Abhinav Batra
25 Points
										

Dear s adhitya


Suppose I=(0 to π/2)∫f(x)dx/f(x) + f(π/2-x)


then I = (0 to π/2)∫f(π/2-x)dx/f(π/2-x) + f(x)   (since (0 to a )∫f(x)=(0 to a) ∫ƒ(a-x))


 


Adding the two integrals


2I =(0 to π/2)∫f(x)dx/f(x) + f(π/2-x) + (0 to π/2)∫f(π/2-x)dx/f(π/2-x) + f(x)


2I=(0 to π/2)∫{f(x)+f(π/2-x)}dx/f(x) + f(π/2-x)


2I=(0 to π/2)∫dx


2I=π/2


I=π/4


 


ALL THE BEST


Abhinav Batra

7 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