The purpose of this course is to teach functions, limits, continuity, derivatives, polynomial, rational, exponential, hyperbolic, logarithmic, trigonometric and inverse trigonometric functions.

Inverse trig functions and their derivative, logarithmic functions and their derivative, related rates, L'Hospital's Rule, optimization problems, curve sketching, linearization, Newton's Method, ...

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