# Find an antiderivative

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• Jan 25th 2013, 03:34 PM
kuppina
Find 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!
• Jan 25th 2013, 04:17 PM
chiro
Re: 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?
• Jan 25th 2013, 04:44 PM
kuppina
Re: Find an antiderivative
Quote:

Originally Posted by chiro
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?

Hi chiro. Would C be 5? I have to do this all by hand and I want to make sure I get the right answer.
Thank you!
• Jan 25th 2013, 04:50 PM
chiro
Re: 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?
• Jan 25th 2013, 04:51 PM
kuppina
Re: Find an antiderivative
Quote:

Originally Posted by chiro
If F(0) = 0 then this means that F(0) = 5*e^0 + C = 5 + C = 0. So what does this imply?

-5. Thank you so much!