Thread: A strange integration problem

Hi!

I have a problem here. I really hope someone will help me!

I have a function that could be derivated two times. The function is like this:
1) f(pi) = 2.
2) the definite integral from 0 to pi is ( f(x) + f ''(x) )*sin(x) dx = 5.

Find f(0).

(...by using integration by parts.)


(I'm really sorry that I still don't manage LaTeX, but I'll learn it as soon as possible...)

it's a straightforward problem.

just split up the integral into two pieces and integrate by parts the second one, once done, do it again and you'll be able to solve your problem.