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Let b!=0 and for j=0,1,2,....,n. Let S(j...

Let `b!=0` and for `j=0,1,2,....,n`. Let `S_(j)` be the area of the region bounded by Y_axis and the curve `x cdot e^(ay)=sin by, (jpi)/bleyle((j+1)pi)/(b)`. Show that `S_(0),S_(1),S_(2),...S_(n)` are in geometric progression. Also, find their sum for a=-1 and `b=pi`.

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