Найдите общий вид первообразной для функции f(x)=(5x-3)^3+3sin(2x-П/6)

Решите задачу:

$f(x)=(5x-3)^3+3\sin(2x-\frac\pi6);\\ F(x)=\int{\left\{(5x-3)^3+3\sin(2x-\frac{\pi}{6})\right\}}dx=\\ =\int{(5x-3)^3}dx+3\int{\sin(2x-\frac\pi6)}dx=\\ =\frac{1}{5}\int{(5x-3)^3}d(5x-3)dx+\frac32\int{\sin(2x-\frac\pi6)}d(2x-\frac\pi6)=\\ =\frac15\cdot\frac{(5x-3)^4}{4}-\frac32\cdot\cos(2x-\frac\pi6)+C=\\ =\frac1{20}(5x-3)^4-\frac32\cos(2x-\frac\pi6)+C$