Changes

The rule for '''integration by parts''' is stated as follows:

The rule for '''integration by parts''' is stated as follows:

:<big><big><big><math>\int f(x) g'(x)\,dx = f(x) g(x) - \int f'(x) g(x)\,dx,</math></big></big></big>

:<big><math>\int f(x) g'(x)\,dx = f(x) g(x) - \int f'(x) g(x)\,dx,</math></big>

This rule is often useful when one function is a power of ''x'' and the other function  is a trigonometric function or ''e'' raised to a power of ''x''.

This rule is often useful when one function is a power of ''x'' and the other function  is a trigonometric function or ''e'' raised to a power of ''x''.