Thread: Find the area of the finite region

Find the area of the finite region bounded by the curve with equation x^2 - y^2 = 4 and the line x = 5.

So to find the region we've to find, int (x^2 - 4)^1/2 dx with limit 0-5. But how do I integrate this?

Originally Posted by geton

Find the area of the finite region bounded by the curve with equation x^2 - y^2 = 4 and the line x = 5.

So to find the region we've to find, int (x^2 - 4)^1/2 dx with limit 0-5. But how do I integrate this?

You will need to apply a trigonometric substitution to the integral, in particular, the substitution . Differentiating x, we get . For now, don't worry about the limits of integration. The integral will become the following:


Take it from there, and see how you go.