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#1 2008-07-18 16:36:09

Identity
Member
Registered: 2007-04-18
Posts: 934

Integration find the shaded region

Find the region bound by the curve, the axes, and the line x = 1.

I don't know what I did wrong! I got the answer

but the answers say
?? Thanks

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#2 2008-07-19 11:02:46

John E. Franklin
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Registered: 2005-08-29
Posts: 3,588

Re: Integration find the shaded region

Did you do the definite integral between x=1/3 and 0 for the positive part,
and between 1 and 1/3 for the part below the x-axis?


igloo myrtilles fourmis

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#3 2008-07-19 11:21:16

John E. Franklin
Member
Registered: 2005-08-29
Posts: 3,588

Re: Integration find the shaded region

I get this for both regions added together,
but I'm terrible at calc:

-1/3 + (4/pi)(sqrt(3) - 1)
approx 0.599


igloo myrtilles fourmis

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#4 2008-07-19 11:23:01

John E. Franklin
Member
Registered: 2005-08-29
Posts: 3,588

Re: Integration find the shaded region

Google calculator says your answer is 0.599 also.


igloo myrtilles fourmis

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#5 2008-07-19 11:29:15

Identity
Member
Registered: 2007-04-18
Posts: 934

Re: Integration find the shaded region

Thankyou John, that's the same as mine but in a different form... maybe the answers are wrong after all tongue

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