AREA BETWEEN CURVES WHEN PART OF THE AREA IS UNDER …
AREA BETWEEN CURVES WHEN PART OF THE AREA IS UNDER THE x AXIS.
Consider the area between this parabola and this line. The actual equations are not necessary.[pic]
The areas of the three sections are marked as A, B and C which of course are positive numbers.
x = v
( LINE dx = A + C
x = 0
x = v
(PARABOLA dx = – B + C
x = 0
x = v
so (LINE – PARABOLA dx = A + C – ( – B + C ) = A + B as required!
x = 0 x = u
So we do not have to worry about area C or the fact that (PARAB dx = – B
x = 0
-----------------------
A
C
B
u v
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.