Applicare la formula: $\int_{a}^{b} cxdx$$=c\int_{a}^{b} xdx$, dove $a=0$, $b=\pi $, $c=\sin\left(x\right)^2$ e $x=\cos\left(t\right)^4$

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 $x=t$ e $n=4$

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

Applicare la formula: $\left[x\right]_{a}^{b}$$=eval\left(x,b\right)-eval\left(x,a\right)+C$, dove $a=0$, $b=\pi $ e $x=\frac{\cos\left(t\right)^{3}\sin\left(t\right)}{4}+\frac{3}{4}\left(\frac{1}{2}t+\frac{1}{4}\sin\left(2t\right)\right)$