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## Homework Statement

F(x) = ∫ cos (1+t^2)^-1) from 0 to 2x - x^2

Determine whether F has maximum or minimum value

## Homework Equations

## The Attempt at a Solution

I tried finding

F'(x) = Dx (∫ cos (1+t^2)^-1) from 0 to 2x - x^2)

= (2-2x)cos[(1+(2x-x^2))^-1]

What do I do next? equate F'(x) = 0 and find F''(x) ?

Please help. Thank you.