3.5 Integration as the Summation of Areas

Posted on April 22, 2020 by user

3.5 Integration as the Summation of Areas

(A) Area of the region between a Curve and the x-axis.

Area of the shaded region;

$A = \int_{a}^{b} y d x$

(B) Area of the region between a curve and the y-axis.

Area of the shaded region;

$A = \int_{a}^{b} x d y$

(C) Area of the region between a curve and a straight line.

Area of the shaded region;

$A = \int_{a}^{b} f (x) d x - \int_{a}^{b} g (x) d x$