5.4 Indefinite Integrals and the Net Change Theorem/3

${\begin{aligned}&\int \cos ^{3}xdx=\sin {x}-{\frac {1}{3}}\sin ^{3}x+C&{\frac {d}{dx}}{[\sin {x}-{\frac {1}{3}}\cdot 3\sin {x^{2}}\cos {x}+0]}\end{aligned}}$