Methods of Integration

Abstract

• 1. Integrate functions using:

  • The method of substitution

  • Integration by parts

  • The table lookup approach

• 2. Use numerical integration—in particular, the Trapezoidal Rule—to approximate:

  • The definite integral of a function whose antiderivative does not have an elementary form

  • The definite integral of a function whose antiderivative does not have an elementary form

• 3. Approximate the definite integral associated with a discrete function by fitting a curve to the data and integrating the fit function