Find an antiderivative F(x) with F'(x) = f(x) and F(0)=0

f(x)=5e^x

What does the F(0)=0 mean and how do I use that to solve this problem? Any help will be very appreciated!

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- January 25th 2013, 04:34 PMkuppinaFind an antiderivative
Find an antiderivative F(x) with F'(x) = f(x) and F(0)=0

f(x)=5e^x

What does the F(0)=0 mean and how do I use that to solve this problem? Any help will be very appreciated! - January 25th 2013, 05:17 PMchiroRe: Find an antiderivative
Hey kuppina.

F(0)=0 means that for a function F(x) if you substitute x = 0 then you get the answer 0.

Hint: if F(x) = 5e^x + C = 0 when x = 0, then what is C? - January 25th 2013, 05:44 PMkuppinaRe: Find an antiderivative
- January 25th 2013, 05:50 PMchiroRe: Find an antiderivative
If F(0) = 0 then this means that F(0) = 5*e^0 + C = 5 + C = 0. So what does this imply?

- January 25th 2013, 05:51 PMkuppinaRe: Find an antiderivative