Find the area bounded by the curve y=e^-x , the X-axis and the Y-axis.
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ANSWER::
Given:-
y = e⁻ˣ
So , when x = 0 then y=e⁻⁰ = 1
We can see that when x increases , y decreases and at x = ∞ , y = 0
Required area can be found out by integration from 0 to ∞ .
Area = ₐ∫ᵇ e⁻ˣ dx = -ₐ[e⁻ˣ]ᵇ = 1
Here a = 0 , b = ∞
Hope it helps!
ANSWER::
Given:-
y = e⁻ˣ
So , when x = 0 then y=e⁻⁰ = 1
We can see that when x increases , y decreases and at x = ∞ , y = 0
Required area can be found out by integration from 0 to ∞ .
Area = ₐ∫ᵇ e⁻ˣ dx = -ₐ[e⁻ˣ]ᵇ = 1
Here a = 0 , b = ∞
Hope it helps!
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