Applicare la formula: $\int\cos\left(\theta \right)^ndx$$=\frac{\cos\left(\theta \right)^{\left(n-1\right)}\sin\left(\theta \right)}{n}+\frac{n-1}{n}\int\cos\left(\theta \right)^{\left(n-2\right)}dx$, dove $n=4$

Applicare la formula: $\int\cos\left(\theta \right)^2dx$$=\frac{1}{2}\theta +\frac{1}{4}\sin\left(2\theta \right)+C$

Applicare la formula: $\left[x\right]_{a}^{b}$$=eval\left(x,b\right)-eval\left(x,a\right)+C$, dove $a=-\frac{\pi }{2}$, $b=\frac{\pi }{2}$ e $x=\frac{\cos\left(x\right)^{3}\sin\left(x\right)}{4}+\frac{3}{4}\left(\frac{1}{2}x+\frac{1}{4}\sin\left(2x\right)\right)$