3.10.2: L'Hopital's Rule and Improper Integrals
- Page ID
- 133563
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- 3.10.2.1: 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 \({\displaystyle \infty }\) or \({\displaystyle -\infty }\) 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.
- 3.10.2.5: 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.