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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 $\int_{-2}^3\frac{1}{x^4}dx$
Evaluate the integral $\int_1^{\infty}\left(x^2\ln\left(z\right)\right)dz$
Evaluate the integral $\int_e^{\infty}\frac{1}{x}dx$
Evaluate the integral $\int_{-2}^1\left(\frac{2}{x^2}\right)dx$
Evaluate the integral $\int_2^2\left(\frac{2}{x^6}\right)dx$
Evaluate the integral $\int_1^{\infty}\left(\frac{1}{x+1}\right)dx$
Evaluate the integral $\int_2^{\infty}\sin\left(x\right)dx$
Evaluate the integral $\int_{-\infty}^0\left(\frac{5}{x}\right)dx$

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Related Topics

Definite Integrals
Indefinite Integrals
Integration Techniques
Integrals of Polynomial Functions
Integrals of Rational Functions
Integrals with Radicals
Integrals of Exponential Functions

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