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Integral

Revision as of 21:03, 15 November 2007 by Temperal (talk | contribs) (→‎Other uses: english not needed!)

The integral is a generalization of area. The integral of a function is defined as the area between it and the $x$-axis. If the function lies below the $x$-axis, then the area is negative. It is also defined as the antiderivative of a function.

Basic integrals

$\int x^n =\dfrac{x^{n+1}}{n+1}$

$\int_{a}^{b} f'(x)= f(b)-f(a)$


Properties of integrals

$\int_{a}^b f = \int_a^c f + \int_c^b f$


Other uses

  • The word integral is the adjectival form of the noun "integer." Thus, $3$ is integral while $\pi$ is not.

See also

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