# calculus

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What is the area under each of the given curves? y=e^x/2 ; x=0 x=1

• calculus -

I would assume the region is closed at the bottom by the x-axis.

area = ∫e^(x/2) dx from 0 to 1
= 2 e^(x/2) | from 0 to 1
= 2e^(1/2) - 2e^0
= 2 e^(1/2) - 2

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