- #1
-EquinoX-
- 564
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Homework Statement
I need to evaluate this
[tex] \int_{-2}^{0} \! \int_{-\sqrt{9-x^2}}^{0} 2xy\,dy\,dx. [/tex]
Homework Equations
The Attempt at a Solution
So I first tried integrating with respect to dy and I have:
[tex] xy^2 [/tex] and evaluate that from [tex] -\sqrt{9-x^2}[/tex] to 0 , I will have [tex] -18x + 2x^3[/tex]. Then I will integrate this again over dx, then I have [tex] 9x^2 + \frac{x^4}{2} [/tex] and I evaluate this from -2 to 0. which results in -44. Where did I do wrong?
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