Impara online a risolvere i problemi di integrali di funzioni razionali passo dopo passo. Find the integral int(x^2sin(x^2))dx. 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=x^2 e m=2. Simplify \left(x^2\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 2 and n equals 2n+1. Applicare la formula: x\left(a+b\right)=xa+xb, dove a=2n, b=1, x=2 e a+b=2n+1. Applicare la formula: \sum_{a}^{b} xy=\sum_{a}^{b} yx, dove a=n=0, b=\infty , x=\frac{{\left(-1\right)}^n}{\left(2n+1\right)!}x^{\left(4n+2\right)} e y=x^2.

Find the integral int(x^2sin(x^2))dx