Suppose [tex]f''[/tex] is continuous and(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\int_0^{\pi}[f(x)+f''(x)]\sin xdx=2[/tex]. Given that [tex]f(\pi)=1[/tex], compute f(0).

I'm stuck on this, and I'm not sure where to start. The problem seems like a quickie, and the assumption that f'' is continuous seems curious. Do I have to use the FTC?

A hint, please??

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Integral problem

**Physics Forums | Science Articles, Homework Help, Discussion**