Applicare la formula: $\int\frac{x}{c}dx$$=\frac{1}{c}\int xdx$, dove $c=\sin\left(w\right)^7$ e $x=\cos\left(x\right)$

Applicare l'identità trigonometrica: $\frac{n}{\sin\left(\theta \right)^b}$$=n\csc\left(\theta \right)^b$, dove $b=7$, $x=w$ e $n=1$

Applicare la formula: $\int\cos\left(\theta \right)dx$$=\sin\left(\theta \right)+C$

Applicare la formula: $\left[x\right]_{a}^{b}$$=eval\left(x,b\right)-eval\left(x,a\right)+C$, dove $a=\frac{\pi }{6}$, $b=\frac{\pi }{2}$ e $x=\csc\left(w\right)^7\sin\left(x\right)$