The absolute area enclosed by and is given by

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

The absolute area enclosed by

y = f(x)

and

y = g(x)

is given by (1)

\sum_{r=0}^{n} \int_{x_r}^{x_{r+1}} (-1)^r h(x) dx

(2)

\sum_{r=0}^{n} \int_{x_r}^{x_{r+1}} (-1)^{r+1} h(x) dx

(3)

2 \sum_{r=0}^{n} \int_{x_r}^{x_{r+1}} (-1)^r h(x) dx

(4)

\frac{1}{2} \sum_{r=0}^{n} \int_{x_r}^{x_{r+1}} (-1)^{r+1} h(x) dx