Anti-derivatives, the substitution method, the   definite integral, the fundamental theorem of calculus, and numerical   integration

 Logarithmic and exponential functions are natural and   general. Derivation and integration formulae. Inverse trigonometric and   inverse hyperbolic functions, Derivation, and integration formulae.

 L’hopital’s rule, integration by parts, trigonometric   integrals, trigonometric substitutions, integrals of rational functions.

Miscellaneous substitutions, integrals involving   quadratic functions, improper integrals

Applications of integrals: areas of regions, volume   by cylindrical shells and by washer method, surface area, and arc length.

Parametric curves, polar coordinates, and polar   curves.