nice integral

2
If for non zero x, a.f(x) +b.f(1/x)=1/x -5 where a≠b then find ∫ f(x)dx
1

5 Answers

62
Lokesh Verma ·

a.f(x) +b.f(1/x)=1/x -5

substitute x=1/x

a f(1/x) + bf(x) = x- 5

multiply 1 by a and 2 by b and substract!

(a2-b2)f(x) = a/x - bx -5a +5b

f(x) = (a/x - bx -5a +5b ) / (a2-b2)

62
Lokesh Verma ·

can u take it from here?

11
Anirudh Narayanan ·

Wah, bhaiyyah. Kamaal kar diya aapne [1]

62
Lokesh Verma ·

thank you thank you :)

24
eureka123 ·

yup done it..thanx......gud to see u back....

Your Answer

Close [X]