Aregion in the plane is bounded by the graph of y=1/x, the x-axis, the line x=m and the line x=3m, m> 0. the area of this region:
a) is independent of m
b) increases as m increases
c) decreases as m increases
d) decreases for all m< 1/3
e) increases for all m< 1/3

The area of plane is independent of m, A=log 3

A is correct

Step-by-step explanation:

A region in the plane is bounded by the graph of

x-axis

Line: x=m and x=3m

Please find the attachment for figure.

Area under the curve = integrate the curve from m to 3m

Using log property: log a - log b = log(a/b)

Hence, The area of plane is independent of m.

the answer is ! ?