Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Choose an option
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
- Load more...
Rewrite the function $\sin\left(x^3\right)$ as it's representation in Maclaurin series expansion
Learn how to solve integral calculus problems step by step online.
$\int x\sum_{n=0}^{\infty } \frac{{\left(-1\right)}^n}{\left(2n+1\right)!}\left(x^3\right)^{\left(2n+1\right)}dx$
Learn how to solve integral calculus 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.
