# calculus

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find the volume of the region bounded by y=e^x, y=2, and the y axis

• calculus -

y=2 when x=ln2
∫[0,ln2] 2-e^x dx
= 2x - e^x [0,ln2]
= (2ln2 - 2) - (0-1)
= ln4 - 1

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