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Rewrite the function $\sin\left(x^3\right)$ as it's representation in Maclaurin series expansion
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$\int x\sum_{n=0}^{\infty } \frac{{\left(-1\right)}^n}{\left(2n+1\right)!}\left(x^3\right)^{\left(2n+1\right)}dx$
Learn how to solve problems step by step online. Find the integral int(xsin(x^3))dx. Rewrite the function \sin\left(x^3\right) as it's representation in Maclaurin series expansion. Simplify \left(x^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. Solve the product 3\left(2n+1\right). Bring the outside term x inside the power serie.