Confused about this one..

Show how the area bounded by the curve f(x)=1/x on the interval [1,2] is greater than the area of a rectangle of height f(2) and less than the area defined by a trapezoid that intersects the curve at x=1 and x=2.

how do I go about solving this problem?

Question

Confused about this one..

Show how the area bounded by the curve f(x)=1/x on the interval [1,2] is greater than the area of a rectangle of height f(2) and less than the area defined by a trapezoid that intersects the curve at x=1 and x=2.

how do I go about solving this problem?

jhannybean · Answer

from what I have, the triangle lies between 1 and 2..|dw:1368774802905:dw|