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- Integrate by partial fractions
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- Weierstrass Substitution
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- Integrate using basic integrals
- Product of Binomials with Common Term
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The integral of a function times a constant ($4$) is equal to the constant times the integral of the function

Learn how to solve integral calculus problems step by step online.

$4\int x\sin\left(x^3\right)dx$

Learn how to solve integral calculus problems step by step online. Find the integral int(sin(x^3)4x)dx. The integral of a function times a constant (4) is equal to the constant times the integral of the function. 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).

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