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Mathematics-Online problems:

Interactive Problem 850: Integration over the Unit Ball

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Find the integrals of the functions

$\displaystyle {\bf a)}\quad f(x,y,z)=x^2+y^2\,,\qquad \qquad {\bf b)}\quad g(x,y,z)=\vert x\vert $

over the unit ball $ S$.

Solution: (give the rounded values up to the forth position after the decimal point)

$\displaystyle {\bf a)}\quad \int\limits_S f(x,y,z)dS=$    $\displaystyle \qquad \qquad {\bf b)}\quad \int\limits_S g(x,y,z)dS=$   


   
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  automatically generated: 3/12/2018