CK12 Calculus - Single Variable

TrigonometricIntegrals

LearningObjectives
A studentwill be able to:

• Computeby handthe integralsof a wide varietyof functionsby usingthe Trigonometric
  Integrals.


• Combinethis techniquewith -substitution.

IntegratingPowersof Sinesand Cosines
In this sectionwe will studymethodsof integratingfunctionsof the form

where and are nonnegativeintegers.The methodthat we will describeuses the famoustrigonometric
identities

and

Example1:

Evaluate and
Solution:
Usingthe identitiesabove,the first integralcan be writtenas

Similarly, the secondintegralcan be writtenas