- #1

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from -2 to 2,

integral Ln(√(4-y^2)+2)dy,

how to integral that?

integral Ln(√(4-y^2)+2)dy,

how to integral that?

- Thread starter splelvis
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- #1

- 10

- 0

from -2 to 2,

integral Ln(√(4-y^2)+2)dy,

how to integral that?

integral Ln(√(4-y^2)+2)dy,

how to integral that?

- #2

Gib Z

Homework Helper

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This should be in the HOMEWORK forum. Have you even tried anything?

- #3

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Moderator's note: thread moved from "Calculus & Analysis"

- #4

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[tex] yln (\sqrt{4 - y^{2}} + 2) + 1/2 {\int \frac{y^{2}}{4 - y^{2} + \sqrt{4-y^{2}}}} [/tex]

and got this. For that integral I'm left with, I wanted to try decomposing it or use some kind of partial fractions method, but I have a sqrt expression in my denominator that has a variable inside.. I'm not sure what to do with that..

thanks

- #5

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holezch, your approach works as well I think. Try making the substitution I suggested. I haven't gone through with the calculations but I think it works.

- #6

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dang, that's a good idea.. thanks

- #7

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is that should be log(2cos(x)+2)2cos(x)dx?

anyway that is good , thank you

anyway that is good , thank you

- #8

Gib Z

Homework Helper

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And only one integration by parts is needed if you used a basic trigonometric identity, just for your information.

- #9

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And fine, only one integration by parts was probably needed. I didn't carry out any of the calculations on paper. If I see an approach that works, then I convey it.

- #10

Gib Z

Homework Helper

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"NOTE: You MUST show that you have attempted to answer your question in order to receive help. You MUST make use of the homework template, which automatically appears when a new topic is created in the homework help forums. "

This is one of the reasons holezch shouldn't hijack someone elses homework help thread. Either wait for the answer to come through on the thread patiently, or give someone a personal message.

Physicsforums is becoming a haven for lazy students to get their homework done for them, enabled by occurrences like this, and Its becoming worse than ever. Is anyone else getting sick of this?

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