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Calculate the power $0^2$
Learn how to solve integrals of exponential functions problems step by step online.
$\int e^{3x}xdx$
Learn how to solve integrals of exponential functions problems step by step online. Find the integral int(0^2+e^(3x)x)dx. Calculate the power 0^2. We can solve the integral \int e^{3x}xdx 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^{3x} a total of 2 times.