Evaluate the following n-dimensional integral by the Monte Carlo method L (x + x + ....

 

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Evaluate the following n-dimensional integral by the Monte Carlo method L (x + x + . . . + x ) d V n (9.131) where the integration domain R,, is an n-dimensional unit hypercube defined by 0 x 1 for k = 1,2,...,n, 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 forn = 9. Evaluate the following n-dimensional integral by the Monte Carlo method L (x + x + . . . + x ) d V n (9.131) where the integration domain R,, is an n-dimensional unit hypercube defined by 0 x 1 for k = 1,2,...,n, 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 forn = 9.