Area Between Two Curves, Again

Can someone tell me where I messed up at? The answer is $7052.48

Find the producer's surplus if the supply function for computers is given by $S(q)=5q^{3/2}+q+61$ and supply and demand are in equalibrium at $q=22$

Here is my work.

$S(22)= 5(22)^{3/2}+22+61$

$=598.9457336$

$\int_{0}^ {22} [598.9457336-(5q^{3/2}+q+61)]dq$

$\int_{0}^{22} (537.9457336-5q^{3/2}-q)dq$

$=537.9457336q-2q^{5/2}-q^2 \mid_{0}^{22}$

$=11834.80614-4540.322456+484$

$=7778.48$

The reason I didn't round my calculations is because it said not to. As you can see my anwer is far from the right one of $7052.48....someone please help