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M.vs vivek vardhan Grade: 12
        

The area bounded by the curve y=x^4-2x^3+x^2+3 , the axis of


abscissas and two ordinates correponding to the points of minium of  the function y(x) is

6 years ago

Answers : (1)

vikas askiitian expert
510 Points
										

f(x) = x4 -2x3 +x2 +3


f1(x) = 4x3 -6x2 +2x


on putting f1(x)=0


 x=0,1/2 ,1


now f2(x) =d2y/dx2 =12x2 -12x +2


f2(x) is +ve for x=0,1


hence its minimum is at x=0,1


now area bw curve and x=0,1 is


area =A= f(x)dx     limit 0 to 1


              =x5 /5 - x4 /2 + x3 /3 +3x       lim 0 to 1


               =91/30 square units

6 years ago
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