3.6: Numerical Approximations to Definite Integrals
There are times when the antiderivative is very challenging to find or may not even exist, which means the definite integral cannot be evaluated. What can one do in this case when the integral cannot be found? Three approaches can be taken to find the approximate value of the region under a curve.
Subunit 3.6 looks at various ways to use numerical approximations to find definite integrals. The Riemann sum, trapezoidal rule, and Simpson's rule can all be used to find an accurate approximation of an area under a curve.