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When multiplying two powers that have the same base ($o$), you can add the exponents
Learn how to solve definite integrals problems step by step online.
$\int_{0}^{o^2} x^3e^{-2x}dx$
Learn how to solve definite integrals problems step by step online. Integrate the function x^3e^(-2x) from 0 to oo. When multiplying two powers that have the same base (o), you can add the exponents. 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. Integrate T(x) as many times as we have had to derive P(x), so we must integrate e^{-2x} a total of 4 times.