How do you use the method of integration by parts to solve the integral of the product of two functions?

Integration by parts is a technique derived from the product rule for differentiation. For functions u(x) and v(x), it states: ∫u(x)v'(x)dx = u(x)v(x) – ∫v(x)u'(x)dx. Choose u(x) and v'(x) such that the resulting integral ∫v(x)u'(x)dx is simpler to evaluate. Apply the formula iteratively if necessary.

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