Post a New Question


posted by .

Find the value of a≥0 that maximizes the integral from 0 to a of (4-x²)dx.

Thank you!

  • Calculus -

    You have Int[f(x)] = F(a)

    To maximize F(a), you want its derivative f(a) to be zero.

    4-a^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.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

More Related Questions

Post a New Question