# Thread: area of curves...in a big hurry!

1. ## area of curves...in a big hurry!

You are given the graph below where A1 = 18 and A2 = 5. (The graph is not drawn to scale.)

Figure 5.29
Use Figure 5.29 to find the following values.
(a) =
(b) =
(c) =
(d) =

can i please get some help with this...thanks

mathaction

2. the integral gives the area under the curve, that is, the area between the curve and the x-axis. if the curve is below the x-axis, the integral gives the negative area. with that in mind, you should be able to follow this easily
Originally Posted by mathaction
You are given the graph below where A1 = 18 and A2 = 5. (The graph is not drawn to scale.)

Figure 5.29
Use Figure 5.29 to find the following values.
(a) =
$\displaystyle \int_a^b f(x)~dx = A_1$

(b) =
$\displaystyle \int_b^c f(x)~dx = - A_2$

(c) =
$\displaystyle \int_a^c f(x)~dx = \int_a^b f(x)~dx + \int_b^c f(x)~dx$

(d) =
$\displaystyle \int_a^c f(x) = A_1 + A_2$ (the absolute values flips the negative part of the graph up, so now the area for the second part is positive when given by the integral)