Answer to Question #37639 in Calculus for Chris

Question

For the function f(x), f(x) = x + a + integral from 0 to 1 of {f(t)}^2 dt

is true. What is the maximum value for the constant a?

a) -3/4
b) -1/2
c) -1/3
d) 1/3
e) 1/2