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Rewrite the function $\sin\left(x^6\right)$ as it's representation in Maclaurin series expansion
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$\int\sum_{n=0}^{\infty } \frac{{\left(-1\right)}^n}{\left(2n+1\right)!}\left(x^6\right)^{\left(2n+1\right)}dx$
Learn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int(sin(x^6))dx. Rewrite the function \sin\left(x^6\right) as it's representation in Maclaurin series expansion. Simplify \left(x^6\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 6 and n equals 2n+1. Solve the product 6\left(2n+1\right). We can rewrite the power series as the following.