The definite integral, fundamental theorem of calculus, the indefinite integral, changes of variable, integration of trigonometric and inverse trigonometric functions. Integration of the hyperbolic and inverse hyperbolic functions. Techniques of integration: substitution, by parts, trigonometric substitutions, partial fractions, indeterminate forms, improper integrals, numerical integration. Application of definite integral: Area, volume of revolution, work, arc length. Polar coordinates.