Examples for
Integrals come in two varieties: indefinite and definite. Indefinite integrals can be thought of as antiderivatives, and definite integrals give signed area or volume under a curve, surface or solid. Wolfram|Alpha can compute indefinite and definite integrals of one or more variables, and can be used to explore plots, solutions and alternate representations of a wide variety of integrals.
Indefinite Integrals
Find the antiderivatives of mathematical expressions.
Compute an indefinite integral:
Compute an indefinite integral that cannot be expressed in elementary terms:
Generate a table of integrals that contain a given function:
Multiple Integrals
Calculate definite nested integrals in multiple variables.
Compute a multiple integral:
Compute an integral over an unbounded region:
Integrals Related to Special Functions
Find definite or indefinite integrals involving a particular special function.
Explore interesting indefinite integrals containing special functions:
Explore interesting definite integrals containing special functions:
Definite Integrals
Find integrals with lower and upper limits, also known as Riemann integrals.
Compute a definite integral:
Compute an improper integral:
Generate a table of definite integral formulas:
Integrate expressions using numerical approximation.
Numerically integrate functions that cannot be integrated symbolically:
Approximate an integral using a specified numerical method:
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Integral Representations
Explore integral representations of various math functions.
