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 by
and
To integrate
write
then
can be evaluated by substitution. Substitute
then
The integral becomes
then
Similarly to integrate
write
then
can be evaluated by substitution. Substitute
then
The integral becomes
then
