Impara online a risolvere i problemi di calcolo differenziale passo dopo passo. int(sin(y)^4cos(x))dy. Applicare la formula: \int cxdx=c\int xdx, dove c=\cos\left(x\right) e x=\sin\left(y\right)^4. Applicare la formula: \int\sin\left(\theta \right)^ndx=\frac{-\sin\left(\theta \right)^{\left(n-1\right)}\cos\left(\theta \right)}{n}+\frac{n-1}{n}\int\sin\left(\theta \right)^{\left(n-2\right)}dx, dove x=y e n=4. Applicare la formula: x\left(a+b\right)=xa+xb, dove a=\frac{-\sin\left(y\right)^{3}\cos\left(y\right)}{4}, b=\frac{3}{4}\int\sin\left(y\right)^{2}dy, x=\cos\left(x\right) e a+b=\frac{-\sin\left(y\right)^{3}\cos\left(y\right)}{4}+\frac{3}{4}\int\sin\left(y\right)^{2}dy. Applicare la formula: a\frac{b}{c}\int xdx=\frac{ba}{c}\int xdx, dove a=\cos\left(x\right), b=3, c=4 e x=\sin\left(y\right)^{2}.

int(sin(y)^4cos(x))dy