ANTIDERIVATIVES
Consider the function f(x)=10cosx−8sinx.
Let F(x) be the antiderivative of f(x) with F(0)=8.

Question

ANTIDERIVATIVES
Consider the function f(x)=10cosx−8sinx. 
Let F(x) be the antiderivative of f(x) with F(0)=8.

openstudymathhelp · Answer

The part that is throwing me off, is the F(0)=8

retireed · Answer

That is an initial condition so that you can solve what the + C is equal to.

openstudymathhelp · Answer

So do I find the antiderivatve of 10cos-8sinx, and have that equal to 8?

retireed · Answer

Kind of, I think you need to plug 0 into the antiderivative with + C and set that equal to 8.

I think what you said was correct, I was just over thinking it.

openstudymathhelp · Answer

i$$10\sin(0)+8\cos(0)+C=8$$

openstudymathhelp · Answer

ah ok I got it, C would then be equal to zero

retireed · Answer

YES very good.

retireed · Answer

I hope I remember this correctly.

openstudymathhelp · Answer

That sounds familiar to what I learned in class today. I think I was mistaking it as a separate function because I was getting a completely different answer. Thanks!

retireed · Answer

yw