Question

Найдите F(x)
f(x)=sin^2*3x

Answer 1

$f(x)=sin^23x\\F(x)=int f(x), dx=int sin^23x, dx=int frac{1-cos6x}{2}, dx=frac{1}{2}int (1-cos6x), dx=\\=frac{1}{2}cdot (x-frac{1}{6}, cos6x)+C=frac{x}{2}-frac{1}{12}, cos6x+C$