Use the midpoint rule for the triple integral to estimate the value of the intergral. divide b into eight sub-boxes of equal size. (round the answer to three decimal places.)

∫∫∫ 1/ln(1+7x+5y+z)dv ,where

b= {(x, y,z)|0 ≤ x ≤ 4, 0 ≤ y ≤ 8, 0 ≤ z ≤ 4}

step-by-step explanation: given equation a = h(b 1+b 2)

also we are given values of a, h and b 1 as :

a = 16, h = 4, and b 1 = 3.

in order to solve it for b 2, we need to plug the given values of   a, h and b 1 .

therefore, plugging values of   a, h and b 1   in given equation, we get

16 = 4( 3 + b 2)

first dividing both sides by 4, we get

4 = 3 + b 2

subtracting 3 from both sides, we get

4 -3 = 3 -3 + b 2

1 = b 2.

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