Consider the 4-periodic function f(t) which, on the interval [2, 2], is define below, where exp(x) = e x is the exponential function.

\f1 L kit bk - f (t) sin dt for k > 0 L -L Lexp(ax) sin(bx)dx = exp(ax ) (asin(bx) - bcos(bx)) a2 + 62 + C fora, bER