Question

Using the graph of f(x), determine the integral from [-1,8] of f(x)dx.

Answer 1

a) 2
b) 4
c) 14
d) 0
e) 7

Answer 2

See, this is what I was thinking. Since we're dealing with integrals, we are looking for the net area (area above the x-axis) - (area below the x-axis). To my eye, the area above and below look to be the same. So if you are subtracting an area x from itself, wouldn't you get zero?

Answer 3

They are not quite the same. The right side goes along one unit more...So the integral is 2.

Answer 4

Otherwise, your reasoning is good!

Answer 5

Oh damn, I missed that. But how do you arrive at 2?

Answer 6

There are two 1x1 squares under the graph between 7 and 8

Answer 7

Hm, okay, guess that makes sense. Thanks for the help, Hanz.

Answer 8

YW ;)