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- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
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The integral of a function times a constant ($r^2$) is equal to the constant times the integral of the function
Learn how to solve integrals of polynomial functions problems step by step online.
$r^2\int\cos\left(t^3\right)dt$
Learn how to solve integrals of polynomial functions problems step by step online. Find the integral int(r^2cos(t^3))dt. The integral of a function times a constant (r^2) is equal to the constant times the integral of the function. Rewrite the function \cos\left(t^3\right) as it's representation in Maclaurin series expansion. Simplify \left(t^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. We can rewrite the power series as the following.