antiderivative finding c

[jayboo]

f''(x)=2 + cosx, f(0)=-1, f(pi/2)=0. find f.

i have no idea how to do this because when i work the problem out im left with two variables c and d. any help would be great thanks

 

[Bob Brown MSEE]

You say you have f(x,C,D)

Two equations with two unknowns
f(0,C,D)=-1
f(pi/2,C,D)=0

 

[JeffM]

f''(x)=2 + cosx, f(0)=-1, f(pi/2)=0. find f.

i have no idea how to do this because when i work the problem out im left with two variables c and d. any help would be great thanks

Yes indeed, after you integrate twice to get f(x), you have two constants. You then have the values of f(x) for two different values of x. Two linear equations, two unknowns.

What did you get for f(x) in terms of c and d?