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Question #7987e

↳Redirected from "How do I change #int_0^1int_0^sqrt(1-x^2)int_sqrt(x^2+y^2)^sqrt(2-x^2-y^2)xydzdydx# to cylindrical or spherical coordinates?"

1 Answer

Mar 2, 2017

see below

Explanation:

Use the Pythagorean Property:
#1+cot^2x=csc^2x# and isolate #cot^2 x#. That is,

Left Hand Side:

#cot^2x=csc^2x-1#

#=(cscx-1)(cscx+1)#-->factor using difference of two squares

#:.=# Right Hand Side

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