1 Attachment(s)

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

Re: Find the area enclosed by the graph.

In part a), what happens when x = 3?

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

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 :)

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.