Evaluate the following n-dimensional integral by the Monte Carlo method +x) dV n (9.130) where the...

     

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Evaluate the following n-dimensional integral by the Monte Carlo method +x) dV n (9.130) where the integration domain B is in an n-dimensional unit ball centered at the origin, and dV is the volume of a small hypercube in the n-dimensional space. (a) Computing the integral for n = 6; and (b) Computing the integral for n = 9. Evaluate the following n-dimensional integral by the Monte Carlo method +x) dV n (9.130) where the integration domain B is in an n-dimensional unit ball centered at the origin, and dV is the volume of a small hypercube in the n-dimensional space. (a) Computing the integral for n = 6; and (b) Computing the integral for n = 9.