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How to find the area of the shaded region

How to find the area of the shaded region-example-1

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y=2x^(1/2)

A=2⌠x^(1/2) dx

A=2[ (2/3)x^(3/2) ]

A=(4/3)[ x^(3/2) ] x=[1,4]

A=(4/3)(8-1)

A=(4/3)7

A=28/3 u^2

A=9 1/3 u^2
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