# Math Help - Application of anti derivative

1. ## Application of anti derivative

[IMG]file:///C:/DOCUME%7E1/ADMINI%7E1/LOCALS%7E1/Temp/moz-screenshot.jpg[/IMG]The graph of the derivative F ' of some function F is given in the figure below.

If F(20) = 365, estimate the maximum value attained by F. Your answer should be within 20 units of the correct value.

2. looks like F(x) has a max at x = 50

$F(50) = F(20) + \int_{20}^{50} F'(x) \, dx$

estimate the area under the curve from x = 20 to x = 50, then add to F(20)

3. I got it. Thank you!!