Learn how to solve tabular integration problems step by step online. Integrate the function x^2e^x from a to 0. We can solve the integral \int x^2e^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^x a total of 3 times. With the derivatives and integrals of both functions we build the following table.

Integrate the function x^2e^x from a to 0