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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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Take the constant $\frac{1}{9}$ out of the integral
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$\frac{1}{9}\int_{0}^{3} e^{tx}x^2dx$
Learn how to solve problems step by step online. Integrate the function (e^(tx)x^2)/9 from 0 to 3. Take the constant \frac{1}{9} out of the integral. We can solve the integral \int e^{tx}x^2dx by applying the method of tabular integration by parts, which allows us to perform successive integrations by parts on integrals of the form \int P(x)T(x) dx. P(x) is typically a polynomial function and T(x) is a transcendent function such as \sin(x), \cos(x) and e^x. The first step is to choose functions P(x) and T(x). Derive P(x) until it becomes 0. Integrate T(x) as many times as we have had to derive P(x), so we must integrate e^{tx} a total of 3 times.
