Find the area bounded by the curve y=e^(...

Find the area bounded by the curve `y=e^(-x)` the X-axis and the Y-axis.

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The correct Answer is:

A

Given function is
`y=e^(-x)
When x=0
y=e^(-0)=1
` x increases value of y decreases and only at x=oo
y=0

So, the required area can be founded out by integrating the functon from `0 to oo. Area =int^oo_0 e^(-x) dx
= - [e-e^(-x)0_0
=-[0-1]=1`

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