Gevaluate the integral below by changing to spherical coordinates. 3 −3 9 − y2 − 9 − y2 9 − x2 − y2 x2z y2z z3 dz dx dy − 9 − x2 − y2

My best guess as to what the integral is supposed to be is

which is the integral over the sphere of radius 3 centered at (0, 0, 0). In spherical coordinates, the integral is equivalent to

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18

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step-by-step explanation: