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Question

Find the area bounded by the curve y=ex, the X-axis and the Y-axis.


Solution

(y=ex) is the given curve
It cuts x - axis at y = 0
ex=01ex=0
x
It cuts y - axis at x = 0
y=e0=1(0,1)
0exdx=ex|0=[1ee0]
=(01)=1

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