Finding an anti-derivative is finding a function that has a given derivative over a range of values. Classes of derivatives for which this can be done are described along with some methods for finding anti-derivatives.
19.2 Non-uniqueness of Anti-derivatives
19.3 Anti-derivatives by Inspection and Classes of Functions that we can Anti-differentiate
19.5 Integration by Parts
19.6 Differentiation with Respect to a Parameter
19.7 Partial Fraction Decomposition