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Improper Integrals


Definition

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 $\infty$ or $-\infty$ or, in some cases, as both endpoints approach limits.


Problems Solved

Evaluate the integral $\int_{0}^{\infty} e^{-1\cdot x}dx$
Evaluate the integral $\int_{0}^{1}\csc\left(x\right)dx$
Evaluate the integral $\int_{0}^{\infty} e^xdx$
Evaluate the integral $\int_{0}^{\infty} e^{-1\cdotx}dx$
Evaluate the integral $\int_{1}^{\infty} xdx$
Evaluate the integral $\int_{0}^{\infty} x^{-1\cdota\cdot z}dx$
Evaluate the integral $\int_{e}^{\infty}\frac{1}{x\cdot\ln\left(x\right)}dx$

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Related topics

Integrals of Polynomial Functions
Integrals of Rational Functions
Integrals with Radicals
Integrals of Exponential Functions
Integrals of Rational Functions of Sine and Cosine

Popular problems

$\int_{1}^{\infty}\frac{1}{x^2}dx$ 2 views
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$\int_{0}^{1}\csc\left(x\right)dx$
$\int_{0}^{\infty} e^{-1\cdot x}dx$
$\int_{0}^{\infty} e^{-1\cdotx}dx$
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