Impara online a risolvere i problemi di prodotti speciali passo dopo passo. Find the integral int(x^3sin(y^3))dy. Applicare la formula: \int cxdx=c\int xdx, dove c=x^3 e x=\sin\left(y^3\right). Applicare la formula: \sin\left(x^m\right)=\sum_{n=0}^{\infty } \frac{{\left(-1\right)}^n}{\left(2n+1\right)!}\left(x^m\right)^{\left(2n+1\right)}, dove x^m=y^3, x=y e m=3. Simplify \left(y^3\right)^{\left(2n+1\right)} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3 and n equals 2n+1. Applicare la formula: x\left(a+b\right)=xa+xb, dove a=2n, b=1, x=3 e a+b=2n+1.

Find the integral int(x^3sin(y^3))dy