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Improper Integrals

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What is an improper integral?
How to calculate an improper integral?
How to calculate an improper integral with infinity in upper and lower limits?
How to calculate an improper integral with infinite discontinuity at endpoint?

An integral is improper if:
1. Upper and/or lower limits of integration are infinite.
2. f(x) has a finite number of infinite discontinuities.

The following diagrams show examples of improper integrals that converges or diverges. Scroll down the page for more examples and solutions on improper integrals.

Improper Integrals

Improper Integrals
Determine whether an improper integral is convergent or divergent.
Solve applied problems involving improper integrals.

Improper Integrals Examples
Determine if an improper integral converges or diverges.
Improper Integral: Discontinuous Integrand
Examples of an improper integrals when the integrand in discontinuous on the interval of integration
Improper Integral - Basic Idea and Example Improper Integral - More Complicated Example Improper Integral - Infinity in Upper and Lower Limits
An improper integral with positive infinity in the upper limit of integration and negative infinity in the lower limit of integration. Improper Integral with Infinite Discontinuity at Endpoint

Improper Integral with Infinite Discontinuity in the Middle

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