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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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- Integrate using basic integrals
- Product of Binomials with Common Term
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Rewrite the function $\sin\left(x^2\right)$ as it's representation in Maclaurin series expansion
Learn how to solve integral calculus problems step by step online.
$\int x^2\sum_{n=0}^{\infty } \frac{{\left(-1\right)}^n}{\left(2n+1\right)!}\left(x^2\right)^{\left(2n+1\right)}dx$
Learn how to solve integral calculus problems step by step online. Find the integral int(x^2sin(x^2))dx. Rewrite the function \sin\left(x^2\right) as it's representation in Maclaurin series expansion. Simplify \left(x^2\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 2 and n equals 2n+1. Solve the product 2\left(2n+1\right). Bring the outside term x^2 inside the power serie.
