Find the area (in square units) of the region under the graph of the function f on the interval [1, 7].

Question

Find the area (in square units) of the region under the graph of the function f on the interval [1, 7].

f(x) = 1/x

Answer 1

integral of 1/x = lnx

evaluated

from 1 to 7 = ln7 -ln1

= ln7 - 0

= ln7 = about 1.946 units^2