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Apply the formula: $\int cxdx$$=c\int xdx$, where $c=3$ and $x=x^4e^{2x}$
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$3\int x^4e^{2x}dx$
Learn how to solve problems step by step online. int(3x^4e^(2x))dx. Apply the formula: \int cxdx=c\int xdx, where c=3 and x=x^4e^{2x}. We can solve the integral \int x^4e^{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 5 times.
