Impara online a risolvere i problemi di passo dopo passo. int(sin(x)^5cos(2)^2)dx. Applicare la formula: \int cxdx=c\int xdx, dove c=\cos\left(2\right)^2 e x=\sin\left(x\right)^5. 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 n=5. Applicare la formula: x\left(a+b\right)=xa+xb, dove a=\frac{-\sin\left(x\right)^{4}\cos\left(x\right)}{5}, b=\frac{4}{5}\int\sin\left(x\right)^{3}dx, x=\cos\left(2\right)^2 e a+b=\frac{-\sin\left(x\right)^{4}\cos\left(x\right)}{5}+\frac{4}{5}\int\sin\left(x\right)^{3}dx. Applicare la formula: a\frac{b}{c}\int xdx=\frac{ba}{c}\int xdx, dove a=\cos\left(2\right)^2, b=4, c=5 e x=\sin\left(x\right)^{3}.

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