Finding Areas by Integration


by odolwa99
Tags: areas, integration
odolwa99
odolwa99 is offline
#1
Dec30-11, 02:33 PM
P: 85
1. The problem statement, all variables and given/known data

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.

2. Relevant equations



3. The attempt at a solution

Please see attachment.

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

Thank you.
Attached Thumbnails
photo.JPG  
Phys.Org News Partner Science news on Phys.org
NASA's space station Robonaut finally getting legs
Free the seed: OSSI nurtures growing plants without patent barriers
Going nuts? Turkey looks to pistachios to heat new eco-city
LCKurtz
LCKurtz is offline
#2
Dec30-11, 02:41 PM
HW Helper
Thanks
PF Gold
LCKurtz's Avatar
P: 7,202
Your answer is correct.
The1337gamer
The1337gamer is offline
#3
Dec30-11, 02:48 PM
P: 46
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
odolwa99 is offline
#4
Dec30-11, 03:12 PM
P: 85

Finding Areas by Integration


Great. Thanks guys.


Register to reply

Related Discussions
Can fluids flow naturally from areas of lower pressure to areas of higher pressure? General Physics 10
Integration - areas Calculus & Beyond Homework 7
finding areas between graphs Calculus & Beyond Homework 3
Finding Volume using integration Calculus & Beyond Homework 6
Finding Areas of Regions Bounded by Trig Functions Using Integrals Calculus & Beyond Homework 7