## Integrating Sine Cubed and Cosine Cubed

Many functions - especially trigonometric functions can be more easily integrated using sleight of hand. Using an identity or rearranging the integrand may make it easily integrable. Illustrative examples are provided byand

To integratewrite

then

can be evaluated by substitution. SubstitutethenThe integral becomesthen

Similarly to integratewrite

then

can be evaluated by substitution. SubstitutethenThe integral becomesthen