Posted by Shelby on Sunday, October 2, 2011 at 10:55pm.
Find the value of a≥0 that maximizes the integral from 0 to a of (4x²)dx.
Thank you!

Calculus  Steve, Monday, October 3, 2011 at 5:57am
You have Int[f(x)] = F(a)
To maximize F(a), you want its derivative f(a) to be zero.
4a^2 = 0 when a = 2 or 2
Knowing what you do about cubics, you know the max on [0,4] will occur at a = 2.
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