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Question

Area bounded by the curve xy-3x-2y-10=0, x-axis and the lines x=3, x=4 is

A
16 log 2 - 13
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B
16 log 2 - 3
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C
16 log 2 + 3
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D
None of these
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Solution

The correct option is C 16 log 2 + 3
Given curve is y(x2)=3x+10y=3x+10x2
Required area is 43ydx=433x+10x2dx
=[3x+16log(x2)]43=3+16log 2 = sq. unit.

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