Examples for

Area between Curves

The area between two curves is the integral of the absolute value of their difference. Wolfram|Alpha can calculate the areas of enclosed regions, bounded regions between intersecting points or regions between specified bounds. In addition to using integrals to calculate the value of the area, Wolfram|Alpha also plots the curves with the area in question shaded.
Area between Curves

Compute the area between curves or the area of an enclosed shape.

Compute the area bounded by two curves:

area between the curves y=1-x^2 and y=x
area between y=x^3-10x^2+16x and y=-x^3+10x^2-16x
compute the area between y=|x| and y=x^2-6

Specify limits on a variable:

find the area between sinx and cosx from 0 to pi
area between y=sinc(x) and the x-axis from x=-4pi to 4pi

Compute the area enclosed by a curve:

area inside x^2 - 2xy + 4y^2 = 4
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