Let f : R" → R be defined by f(x1,x2,..., xn) = x1x2··..xn on the cube ...x [0, 1] (i.e. for 0 < x1 < 1,0 < x2 < 1,...,0 < xn < 1). Evaluate [0, 1] x [0, 1] х dxn ... .. 1 1 Use your result to calculate | F(x1, 12, .. , In) dx1 dr2 d.xn .. .. n=0
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![Let f : R" → R be defined by f(x1,12,... , xn)
[0, 1] × [0, 1] × ...x [0,1] (i.e. for 0 < x1 < 1,0 < x2 < 1,...,0< xn < 1). Evaluate
= x1X2•• · Xn on the cube
•1
•1
/../ F(21, 2,..,) de, daz ... da.,
1
Use your result to calculate
7 f(x1,x2, ….. ,Tn) dx1 dx2
dxn
n=0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0fd531f0-250f-490d-993a-3449a32c15bc%2F6908738d-ad30-432c-955e-ede921863464%2Fltj5ssn_processed.png&w=3840&q=75)
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