3: L'Hopital's Rule and Improper Integrals
( \newcommand{\kernel}{\mathrm{null}\,}\)
- 3.1: Improper Integrals
- An improper integral is the limit of a definite integral as an endpoint of the interval(s) of integration approaches either a specified real number or ∞ or −∞ or, in some cases, as both endpoints approach limits. Such an integral is often written symbolically just like a standard definite integral, in some cases with infinity as a limit of integration.
- Simpson's Rule
- The Trapezoidal and Midpoint estimates provided better accuracy than the Left and Right endpoint estimates. It turns out that a certain combination of the Trapezoid and Midpoint estimates is even better.