Chapter 6.1, Problem 72E

Another look at the Fundamental Theorem

72. Without evaluating integrals, prove that

${\displaystyle {\int }_0^2\frac{d}{dx}(12\sin \pi x^2)dx=}{\displaystyle {\int }_0^2\frac{d}{dx}(x^{10}{(2-x)}^3)dx.}$