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I have a question which I find rather confusing, and that is to prove that the area between two curves is given by [tex]A=\frac{n-1}{n+1} [/tex] where n is the power of X.

The equation is [tex]A=\int X^\frac{1}{n} dx - \int X^n dx[/tex]

Could someone plz show me how to get this to equal to [tex]A=\frac{n-1}{n+1} [/tex]

I had a very diffrent answer. Plz help

Cheers