Integration using trigonometric identities

The  exercise appears under the Integral calculus Math Mission. This exercise uses trigonometric identities to perform integrals.

Types of Problems
There are two types of problems in this exercise:


 * 1) Find the definite integral: This problem has an integral that could use a trigonometric identity to be made easier. The student is expected to figure out which identity applies, use it to simplify the integrand, and then find the value of the integral.Iutid1.png
 * 2) Find the indefinite integral: This problem has an integral that could use a trigonometric identity to be made easier. The student is expected to figure out which identity applies, use it to simplify the integrand, and then find the appropriate antiderivative.Iutid2.png

Strategies
Knowledge of u-substitution and trigonometric identities are encouraged to ensure success on this exercise.
 * 1) The most common trigonometric identities in these integrals are Pythagorean identities, quotient/reciprocal identities and the Sum and Difference Formulas.

Real-life Applications

 * 1) Integral techniques are important for finding any integral that is not immediately set up as one that is recognizable.
 * 2) Integration has many applications in the sciences and economics to find "totals."