| Trigonometric
integrals of the form
|
∫
sinm x, cosn x dx
|
|
| where
m
and n
are integers, we use following substitutions;
|
|
1) if m
is a positive odd integer then, cos
x = t |
|
2) if n
is a positive odd integer then, sin
x = t |
|
3) if m
+ n is a
negative even integer then,
|
|
|
If
m
and n
are positive
even integers then the integrand expression can be transformed
using following trigonometric
identities,
|
|
|
In
the following examples use appropriate substitutions and
trigonometric identities given above.
|
