The area of a parabolic arch is equal to the product of the base and the height.
I need to prove this formula for the general parabola , where is any real number less than zero
and a definite integral to represent the requested area
thank you
Printable View
The area of a parabolic arch is equal to the product of the base and the height.
I need to prove this formula for the general parabola , where is any real number less than zero
and a definite integral to represent the requested area
thank you
Hello, doctorgk!
They could have used a nicer general form . . .Quote:
The area of a parabolic arch is equal to the product of the base and the height.
Prove this formula for the general parabola
For the xintercepts: .Code:
h*
*  *
*  *
*  *

 *   +   * 
b  b
We have: .
. .
Since , we have: .
Where did the 2 before the integral in the area equation come from?
Since the integral was only evaluating from 0 to b, and the parabolic arches area is from b to b, a 2 is added to the front.