[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)?

-Dan

Not sure about this one. It should have two constraints...f(1/2) = 6 is only one. I'll leave it to be an indefinite integral, though the answer with the second limit may have a large effect on the solution.

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?

-Dan