Calculate the Integral of …
Choose the variable of integration and the integration bounds in "Options". Check your input:
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This will be calculated:
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Use parentheses, if necessary, or refer to the help.
ResultAbove, please enter the function to integrate. The variable of integration, the integration bounds and other settings can be changed in the options. When you're done, click the "Go!" button to start the integral/antiderivative calculation. The result will be shown right here.
How the Integral Calculator works …
For those with a technical background, the following section explains how the Integral Calculator works.
First, a parser analyzes the mathematical formula. It transforms it into a form that is better understandable by a computer, namely a tree (see figure below). In doing this, the Integral Calculator has to respect the order of operations. A specialty in mathematical formulas is that the multiplication sign can be left out sometimes, for example we write "5x" instead of "5*x". The Integral Calculator has to detect these cases and insert the multiplication sign.
Maxima takes care of actually computing the integral of the mathematical formula. Maxima's output is transformed to LaTeX again and is then presented to the user. The antiderivative is computed using the Risch algorithm, which is hard to understand for humans. That's why showing the steps of calculation is very challenging for integrals.
If you have any questions or ideas for improvements to the Integral Calculator, don't hesitate to write me an e-mail.