1.

Evaluate the following integral \(\mathop{\int }_{0}^{a}\mathop{\int }_{0}^{a}\mathop{\int }_{0}^{a}\left( xy+xz+yz \right)dx~dy~dz.\)

A. \(\frac{3}{4}{{a}^{3}}\)
B. \(\frac{2}{3}{{a}^{5}}\)
C. \(\frac{3}{4}{{a}^{5}}\)
D. \(\frac{5}{3}{{a}^{3}}\)
Answer» D. \(\frac{5}{3}{{a}^{3}}\)


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