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Question

The area bounded by the curve y=x2+4, the x-axis and the ordinates x=1 and x=4 is units.

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Solution

The required area A is entirely above the x-axis, so we can simply evaluate the integral between the required limits.

A=41ydx
A=41(x2+4)dx
A=[x33+4x]41
A=[643+16][13+4]
A=33 units

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