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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.

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Problems Solved

Evaluate the integral $\int_0^{\infty}\left(\frac{36x^4-109x^2+25}{2x+1}\right)dx$
Evaluate the integral $\int_{\frac{1}{4}}^1\frac{2}{x}dx$
Evaluate the integral $\int_{-2}^{\infty}\left(xe^{\frac{-x}{3}}\right)dx$
Evaluate the integral $\int_1^{\infty}\frac{\ln\left(z\right)}{z}dz$
Evaluate the integral $\int_1^3\frac{1}{\left(x-3\right)^2}dx$
Evaluate the integral $\int_{\infty}^0\left(\pi e^{3t}\right)dx$
Evaluate the integral $\int_{-\infty}^1\left(e^{3x}\right)dx$
Evaluate the integral $\int_{-\infty}^0Cos^2x\:dx$

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Related Topics

Integrals of Polynomial Functions
Integrals of Rational Functions
Integrals with Radicals
Integrals of Exponential Functions

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