Area between tan(x) and x. Area bounded between two functions area integral, exact solution.

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Area bounded between two functions: area between tan(x) and x integral.

To find tan(x) and x area bounded between two functions, we first identify which function is which in the plot. Next we label an area element for the integral, dA. We set up the two functions area integral.

As a side note, we derive the antiderivative of tan(x) formula, then we take antiderivatives to find the area integral exact solution. We evaluate the antiderivative across the limits of integration, and obtain an exact value for the area integral.