For a positive constant number a, the function f(x) satisfies the following equation.
f(x)\equal{}xe^{\minus{}\frac{x}{a}}\plus{}\frac{1}{a\plus{}1}\int_0^a f(t) dt
(1) Express the value of ∫0af(t)dt in terms of a.
(2) Find the maximum and minimum value of f(x) for \minus{}1\leq x\leq 1. calculusintegrationfunctioncalculus computations