Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- 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
- FOIL Method
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Simplify the expression inside the integral
Learn how to solve integrals of exponential functions problems step by step online.
$\int-x^3e^{2x}dx$
Learn how to solve integrals of exponential functions problems step by step online. Find the integral int((x^3e^(2x))/-11)dx. Simplify the expression inside the integral. The integral of a function times a constant (-1) is equal to the constant times the integral of the function. We can solve the integral \int x^3e^{2x}dx 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.