- #1

vabellabel

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## Homework Statement

∫ [(y)/((4-y^2)^1/2)] dy

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- Thread starter vabellabel
- Start date

- #1

vabellabel

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∫ [(y)/((4-y^2)^1/2)] dy

- #2

voko

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Did you try?

- #3

Millennial

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I will give you a tip though. Use the identity [itex]\cos^2\theta+\sin^2\theta=1[/itex].

- #4

- 9,568

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I will give you a tip though. Use the identity [itex]\cos^2\theta+\sin^2\theta=1[/itex].

No trig identities are necessary for this one, just the "obvious" u substitution.

- #5

DryRun

Gold Member

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Welcome to PF!

According to the forum rules, you need to make an attempt first and show us your work.

Maybe rewriting the problem in the following way will help you to visualize how to find the solution of this integral:

$$\int \frac{y}{\sqrt{(4-y^2)}}\,.dy$$

Look at the denominator. To make it easier, ignore the numerator in your analysis. How would you solve that integral?

- #6

Mark44

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