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Rewrite the function $\cos\left(x^2\right)$ as it's representation in Maclaurin series expansion
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$\int x^2\sum_{n=0}^{\infty } \frac{{\left(-1\right)}^n}{\left(2n\right)!}\left(x^2\right)^{2n}dx$
Learn how to solve integral calculus problems step by step online. Find the integral int(x^2cos(x^2))dx. Rewrite the function \cos\left(x^2\right) as it's representation in Maclaurin series expansion. Simplify \left(x^2\right)^{2n} 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. Bring the outside term x^2 inside the power serie. Apply the exponent property of product of powers: x^a\cdot x^b=x^{a+b}.