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Question

Area bounded by the curve y=x(x1)2 and x-axis is-

A
4
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B
1/3
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C
1/12
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D
1/2
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Solution

The correct option is A 1/12
y=x(x1)2
On xaxis y=0
x(x1)2=0 when x=0 and x=1
10(x)(x1)2=10x32x2+x
=[x442x33+x22]10
=1423+12=38+612
=112 sq/units

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