First slide
Area of bounded Regions
Question

 Slope of normal to a curve y=f(x) at any point on curve is xy and curve is passing 

 through the point (1,1) . Then area formed by y=f(x),x - axis x=3 and x=5 is 

Moderate
Solution

dxdy=xyydx+xdy=0d(xy)=0xy=c(1,1)xy=1 Area =351xdx=[logx]35=log5log3=log(5/3)

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