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tmua.me Medium Set B Paper 1 · Q9

Paper 1Geometry

The curve

y=(x−1)2x,x>0,y=\frac{(x-1)^2}{\sqrt{x}},\qquad x>0,

and the lines x=1x=1, x=4x=4 and y=0y=0 bound a region.

What is the area of this region?

A3815\dfrac{38}{15}
B7615\dfrac{76}{15}
C9215\dfrac{92}{15}
D1615\dfrac{16}{15}
E725\dfrac{72}{5}

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