Learn how to solve addition von zahlen problems step by step online. Find the integral 4int(sin(x)^3cos(x)^2)dx. Wenden Sie die Formel an: \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, wobei m=2 und n=3. Vereinfachen Sie den Ausdruck. Wenden Sie die Formel an: x\left(a+b\right)=xa+xb, wobei 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=4 und 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. Das Integral \frac{8}{5}\int\sin\left(x\right)\cos\left(x\right)^2dx ergibt sich: \frac{-8\cos\left(x\right)^{3}}{15}.

Find the integral 4int(sin(x)^3cos(x)^2)dx