I wanted to derive the volume of a sphere using triple integration with spherical coordinates, but instead of taking the limits of θ as (0° ≤ θ ≤ 180°), I chose to take (0° ≤ θ ≤ 360°), and therefore, for φ as (0° ≤ φ < 180°),(adsbygoogle = window.adsbygoogle || []).push({});

Now of course the integral of sin(θ) from 0° to 360° is zero, and the derivation failed..

Shouldn't it be the same result, why.. ?

Thank you

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# Spherical Coordinates

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