Integrating for Area: Solving a Geometric Problem

[odolwa99]

Homework Statement

Hello. Please refer to attachment for the question. Also, in the attachment, the diagram on the left was included with the question, whereas the diagram on the right is my attempt at representing the enclosed region, asked for in the statement.

Homework Equations

The Attempt at a Solution

Please see attachment.

The final answer, according to the textbook, is 1/4 + ln4.

Thank you.

 

[LCKurtz]

Your answer is correct.

 

[The1337gamer]

Your answer looks correct to me, I think it's a book typo.

The only i will say is that when you have integrate 1/x you write x^0 evaluate between 1 and 4, but then you evaluate it between natural logarithm. You shouldn't write x^0. The integral of 1/x is just ln(x).

 

[odolwa99]

Great. Thanks guys.