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.