(a) Expand 1=.1 ? xy/ as a geometric series, and hence show
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(a) Expand 1=.1 ? xy/ as a geometric series, and hence show that Z 1 0 Z 1 0 1 1 ? xy dx dy D X1 nD1 1 n2 : (b) Similarl
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(a) Expand 1=.1 ? xy/ as a geometric series, and hence show that Z 1 0 Z 1 0 1 1 ? xy dx dy D X1 nD1 1 n2 : (b) Similarly, express the following integrals as sums of series: (i) Z 1 0 Z 1 0 1 1 C xy dx dy, (ii) Z 1 0 Z 1 0 Z 1 0 1 1 ? xyz dx dy dz, (iii) Z 1 0 Z 1 0 Z 1 0 1 1 C xyz dx dy dz.
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