[QUOTE=Steelers72;766663]I'm stumped on these problems:
Find the anti-derivative
a) f ''(t) = 2e^t+2 sint, f(0)=0 f(pi)=0
Now split the integrand into two integrals:
Do you know the integrals of e^t and sin(t)?
Use the substitution (or you can choose cosine. It makes no difference.) Then we know that . So the integral becomes
Using the fact that can you finish this?