Impara online a risolvere i problemi di passo dopo passo. int(5sin(x)^3cos(x)^2)dx. Applicare la formula: \int cxdx=c\int xdx, dove c=5 e x=\sin\left(x\right)^3\cos\left(x\right)^2. Applicare la formula: \int\sin\left(\theta \right)^n\cos\left(\theta \right)^mdx=\frac{-\sin\left(\theta \right)^{\left(n-1\right)}\cos\left(\theta \right)^{\left(m+1\right)}}{n+m}+\frac{n-1}{n+m}\int\sin\left(\theta \right)^{\left(n-2\right)}\cos\left(\theta \right)^mdx, dove m=2 e n=3. Semplificare l'espressione. Applicare la formula: x\left(a+b\right)=xa+xb, dove a=\frac{-\sin\left(x\right)^{2}\cos\left(x\right)^{3}}{5}, b=\frac{2}{5}\int\sin\left(x\right)\cos\left(x\right)^2dx, x=5 e a+b=\frac{-\sin\left(x\right)^{2}\cos\left(x\right)^{3}}{5}+\frac{2}{5}\int\sin\left(x\right)\cos\left(x\right)^2dx.

int(5sin(x)^3cos(x)^2)dx