How would you calculate area of a function above the curve with the Riemann sum?
Given a continuous function f on the interval [a, b], with a≤x≤b, what does the fundamental theorem of calculus state?
When should you use integration by parts and integration by substitution?
Firstly you should check substitution:
1. For substituion, it should be composite or part of the integrand is (or becomes) the derivative of another part.
2. If the above is not satisfied, it could be integration by parts: usually it will be integration between two different types of functions