Use the numerical triple integral capability of a CAS to approximatethe location of the

Chapter 14, Problem 31

(choose chapter or problem)

Use the numerical triple integral capability of a CAS to approximate the location of the centroid of the solid that is bounded above by the surface \(z=1 /\left(1+x^{2}+y^{2}\right)\), below by the \(\text { xy-plane }\), and laterally by the plane \(y=0\) and the surface \(y=\sin x \text { for } 0 \leq x \leq \pi\) (see the accompanying figure on the next page).

Equation  Transcription:

text transcription:

z=1/(1+x^2+y^2)

Xy-plane

y=0

y=sin x for 0 geq x geq pi