Remember that integration is the inverse procedure to differentiation. So, if you can do trigonometric differentiation, you can do trig integration.

implicit differentiation, related rate problems, linearization, applied optimization, and curve sketching. Introduction to area and integration. Students are expected to have taken pre-calculus and ...

Differentiation of algebraic and trigonometric expressions can be used for calculating rates of change, stationary points and their nature, or the gradient and equation of a tangent to a curve.