Find F(x) if f''(x)= sin piex+e^-2x, f(0)=0 and f(1)=ln2

[sh8485]

Hello,
I am having difficulties with the following question

Find F(x) if f'' (x)= sin ?x + e^-2x, f(0)=0, and f(1)= ln2


Can you guys help me solve this question?

Thanks


Steve

 

[mmm4444bot]

Let's start with the following two steps.

Can you find an antiderivative of sin(Pi * x) ?

Can you find an antiderivative of e^(-2x) ?