# Find the area enclosed by the graph.

• Mar 19th 2013, 01:55 AM
jennybee
Find the area enclosed by the graph.
Can't seem to be able to solve the below problem and I don't have any solved examples in my text books.

(a) Explain why the graph of the function Attachment 27593 lies below the x-axis for 2 < x < 3 and above the x-axis for 3 < x < 5.

(b) Use this fact to ﬁnd the area enclosed by the graph and the x-axis
between x = 2 and x = 5, giving your answer to four decimal places
• Mar 19th 2013, 04:49 AM
Prove It
Re: Find the area enclosed by the graph.
In part a), what happens when x = 3?
• Mar 19th 2013, 08:13 AM
jennybee
Re: Find the area enclosed by the graph.
Quote:

Originally Posted by Prove It
In part a), what happens when x = 3?

f(x) = 0
• Mar 19th 2013, 11:49 AM
jennybee
Re: Find the area enclosed by the graph.
It finally clicked, lol. So I try some values in the intervals to see which are positive and which are negative :)
• Mar 21st 2013, 05:04 AM
HallsofIvy
Re: Find the area enclosed by the graph.
You should not need to "try some values":you should know, from the definition of "logarithm", that ln(x) is negative for 0< x< 1, positive for x> 1.