Definite integral. Indefinite integral and the Fundamental Theorem of calculus .
Logarithmic and Exponential Functions Hyperbolic Functions and inverse Hyperbolic Functions. Methods of integration: by parts, trigonometric substitutions, completing the square, partial fractions.
Indeterminate Forms and Improper integrals .
Application of integrations: Area of a region under a graph of a continuous function, arc length, volume of a solid of revolution, surface area, work, mass and momentum.