Example: f (x)=x3-x
Click the "Graph" button (this button also refreshes the graph).
Enter the antiderivative F (x) (so that F '(x)=f (x)) in the text input field marked "F(x)=".
Example: F (x)=x4/4-x2/2
Enter the function g(x) in the text input field marked "g(x)=", and click the "Graph" button to refresh.
Enter the antiderivative G(x) (so that G '(x)=g(x)) in the text input field marked "G(x)=".
Enter the endpoints of the interval [a,b] for the definite integral in the text input fields marked "a=" and "b=", and click the "Graph" button to refresh.
To erase the graph and all input fields, click the "Clear" button.
Trigonometric: f (x)= sin x, F (x)= cos x, g (x)= cos x, G (x)= -sin x, [a,b]=[0.7854,2.3562]
In the "Polynomial" example above, the regions shaded have part with f (x) above g(x) (in blue) and part reversed (in red). The two areas are exactly the same, giving a value of zero for net area (blue area minus red area).