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[" Let "b!=0" and for "j=0,1,2...,n." If...

[" Let "b!=0" and for "j=0,1,2...,n." If "S_(j)" is the area of the "],[" region bounded by the Y-axis and the curve "],[xe^(ay)=sin by,(j pi)/(b)<=y<=((j+1)pi)/((b))." Then,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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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 .

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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