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Integral Command
Syntax: Integral[function f, number a, number b]
Action: : Definite integral of function f(x) from number a to b. Note:
Side effect: This command also draws the area between the function graph of f and the x-axis.
Example:
- s = Integral[sqrt(1 + f'(x)^2), a, b]
- This will calculate the length of function f:
![s = \int_{a}^{b} \sqrt { 1 + [f'(x)]^2 }\, dx.](/en/wiki/images/math/a/f/e/afe47a80440ceb225e21daf7caa71de5.png)
- The same answer can be found with s = Length[f, a, b].
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