Area - nth Degree Parabola (convex)

The Area of an n^th Degree Convex Parabola calculator computes the area of an n^th degree parabola based on the exponent, base length and height.

INSTRUCTIONS: Choose units and enter the following:

• (n) Integer exponent
• (b) Base Length
• (h) Height

Convex Area of an n^th Degree Parabola (A): The calculator returns the area in square centimeters.  However this can be automatically converted to compatible units via the pull-down menu.

The Math / Science

The Area of an n^th Degree Convex Parabola equation computes the area of an n^th degree parabola, convex up, where the equation for the n^th degree parabola is y = `(h/b^(1/n)) x^(1/n)`

The formula for the Area of an n^th Degree Convex Parabola is:

      A = (n • b • h) / (n +1)

where;

• A = Area of the convex area under the nth degree parabola.
• n = exponent
• b = base length
• h = height