Como resolver essa integral dupla
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![\displaystyle \mathsf{ \int\limits^2_0 \int\limits^{ \sqrt{4-y^2}}_ 0 { \frac{2}{ \sqrt{4-y^2} } } \, dxdy }\\\\\\\\\text{Integrando em dx, y se torna constante}\\\\\\ \mathsf{ \int\limits^2_0 \left[\int\limits^{ \sqrt{4-y^2}}_ 0 { \frac{2}{ \sqrt{4-y^2} } } \, dx\right]dy }\\\\\\ \mathsf{ \int\limits^2_0 \left[ \left({ \frac{2}{ \sqrt{4-y^2} }\cdot x } \right)\bigg|^{^{ \sqrt{4-y^2}}}_0\, \right]dy } \displaystyle \mathsf{ \int\limits^2_0 \int\limits^{ \sqrt{4-y^2}}_ 0 { \frac{2}{ \sqrt{4-y^2} } } \, dxdy }\\\\\\\\\text{Integrando em dx, y se torna constante}\\\\\\ \mathsf{ \int\limits^2_0 \left[\int\limits^{ \sqrt{4-y^2}}_ 0 { \frac{2}{ \sqrt{4-y^2} } } \, dx\right]dy }\\\\\\ \mathsf{ \int\limits^2_0 \left[ \left({ \frac{2}{ \sqrt{4-y^2} }\cdot x } \right)\bigg|^{^{ \sqrt{4-y^2}}}_0\, \right]dy }](https://tex.z-dn.net/?f=%5Cdisplaystyle+%5Cmathsf%7B+%5Cint%5Climits%5E2_0+%5Cint%5Climits%5E%7B+%5Csqrt%7B4-y%5E2%7D%7D_+0+%7B+%5Cfrac%7B2%7D%7B+%5Csqrt%7B4-y%5E2%7D+%7D+%7D+%5C%2C+dxdy+%7D%5C%5C%5C%5C%5C%5C%5C%5C%5Ctext%7BIntegrando+em+dx%2C+y+se+torna+constante%7D%5C%5C%5C%5C%5C%5C+%5Cmathsf%7B+%5Cint%5Climits%5E2_0+%5Cleft%5B%5Cint%5Climits%5E%7B+%5Csqrt%7B4-y%5E2%7D%7D_+0+%7B+%5Cfrac%7B2%7D%7B+%5Csqrt%7B4-y%5E2%7D+%7D+%7D+%5C%2C+dx%5Cright%5Ddy+%7D%5C%5C%5C%5C%5C%5C+%5Cmathsf%7B+%5Cint%5Climits%5E2_0+%5Cleft%5B+%5Cleft%28%7B+%5Cfrac%7B2%7D%7B+%5Csqrt%7B4-y%5E2%7D+%7D%5Ccdot+x+%7D+%5Cright%29%5Cbigg%7C%5E%7B%5E%7B+%5Csqrt%7B4-y%5E2%7D%7D%7D_0%5C%2C+%5Cright%5Ddy+%7D)
![\displaystyle \mathsf{\int\limits^2_0 \left[ \left(\frac{2}{\sqrt{4-y^2}}\cdot (\sqrt{4-y^2})\right)~-~\left(\frac{2}{\sqrt{4-y^2}}\cdot (0})\right) \right]dy } \displaystyle \mathsf{\int\limits^2_0 \left[ \left(\frac{2}{\sqrt{4-y^2}}\cdot (\sqrt{4-y^2})\right)~-~\left(\frac{2}{\sqrt{4-y^2}}\cdot (0})\right) \right]dy }](https://tex.z-dn.net/?f=%5Cdisplaystyle+%5Cmathsf%7B%5Cint%5Climits%5E2_0+%5Cleft%5B+%5Cleft%28%5Cfrac%7B2%7D%7B%5Csqrt%7B4-y%5E2%7D%7D%5Ccdot+%28%5Csqrt%7B4-y%5E2%7D%29%5Cright%29%7E-%7E%5Cleft%28%5Cfrac%7B2%7D%7B%5Csqrt%7B4-y%5E2%7D%7D%5Ccdot+%280%7D%29%5Cright%29+%5Cright%5Ddy+%7D)

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EFSkinha:
muito bom!!! obrigado.
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