Concepts and Applications

• Moments and centers of mass

• Numerical approximation to a definite integral

• Algebraic substitution in integration

• Inverse trigonometric functions

• Trigonometric substitution in integration

• Integration by parts

• Representation of periodic functions by trigonometric polynomials

Applications

• Calculation of volume

• Calculation of mass (one dimension)

• Calculation of mass (two dimensions)

• Calculation of center of mass (one dimension)

• Calculation of center of mass (two dimensions)

• Fourier representation of periodic functions