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- Integrate by partial fractions
- Integrate by substitution
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- Integrate using tabular integration
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- Weierstrass Substitution
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- Product of Binomials with Common Term
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Rewrite the function $\cos\left(x^3\right)$ as it's representation in Maclaurin series expansion
Learn how to solve integral calculus problems step by step online.
$\int x\sum_{n=0}^{\infty } \frac{{\left(-1\right)}^n}{\left(2n\right)!}\left(x^3\right)^{2n}dx$
Learn how to solve integral calculus problems step by step online. Find the integral int(xcos(x^3))dx. Rewrite the function \cos\left(x^3\right) as it's representation in Maclaurin series expansion. Simplify \left(x^3\right)^{2n} 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. Bring the outside term x inside the power serie. When multiplying exponents with same base you can add the exponents: x\frac{{\left(-1\right)}^n}{\left(2n\right)!}x^{6n}.