Curve . Find the area under the curve 1/x .

Expert Answers

An illustration of the letter 'A' in a speech bubbles

You need to evaluate the integral of rational function f(x)=1/x such that:

int (1/x)dx = ln|x| + c

The problem does not provide the information concerning the boundary limits of the area to be evaluated.

Supposing that the upper limit is e and the lower limit is 1, you should evaluate...

Unlock
This Answer Now

Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Start your 48-Hour Free Trial

You need to evaluate the integral of rational function f(x)=1/x such that:

int (1/x)dx = ln|x| + c

The problem does not provide the information concerning the boundary limits of the area to be evaluated.

Supposing that the upper limit is e and the lower limit is 1, you should evaluate the area such that:

int_1^e (1/x)dx = ln e - ln 1

Since ln e=1 and ln 1=0, then int_1^e (1/x)dx = 1, hence, the areaof the region bounded by the curve 1/x,x axis and boundary limits 1 and e is of 1 square unit.

Approved by eNotes Editorial Team