Integration Application: Area Using Parametric Equations – Cycloid

This video explains how to integrate using parametric equations to determine the area of an cycloid.

Integration Application: Area Using Parametric Equations – Ellipse

This video explains how to integrate using parametric equations to determine the area of an ellipse.

Trapezoid Rule – Determine n for a Given Accuracy

This video explains how to determine n to meet a given accuracy using the Trapezoid Rule.

Simpson’s Rule – Determine n for a Given Accuracy

This video explains how to determine n to meet a given accuracy using Simpson’s Rule.

Trapezoid Rule Error – Numerical Integration Approximation

This video explains how to use the error bounds formula to determine the error for a given value of n when using the Trapezoid Rule approximate a definite integral.

Simpson’s Rule Error – Numerical Integration Approximation

This video explains how to use the error bounds formula to determine the error for a given value of n when using Simpson’s Rule approximate a definite integral.

Ex: Numerical Integration – The Trapezoid Rule

This video provides an example of how to use the Trapezoid Rule to estimate a definite integral.

Ex 1: Numerical Integration – Simpson’s Rule

This video provides an example of how to estimate a definite integral using Simpson’s Rule with n = 4 over the interval [1,3].

Ex: Simpson’s Rule Using a Table of Values

This video provides an example of how to estimate a definite integral using a table of values of a function.

Ex 2: Estimate a Definite Integral Using Simpson’s Rule (fractional subintervals)

This video provides an example of how to estimate the value of a definite integral. The subintervals are fractions.