please help me a triple integral

minh nguyen

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May 21, 2021
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I tried to convert to spherical coordinates, but I can't determine φ ( the angle on the Oxy plane)
 
Change from Cartesian coordinate to Spherical and simplify.

[MATH]2\int_{0}^{\frac{\pi}{2}}\int_{0}^{\frac{\pi}{2}}\int_{0}^{a\sin \phi \sqrt{\cos \theta \sin \theta}} r^3 \cos \theta \sin \theta \cos \phi \sin \phi \ dr \ d\phi \ d\theta[/MATH]
 
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