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Mathematics LibreTexts

3: L'Hopital's Rule and Improper Integrals

  • Page ID
    493
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    • 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 \({\displaystyle \infty }\) 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.
    • 3.2: L'Hôpital's Rule
    • 3.3: Logistics Equations
    • Numerical 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.