What is area x=e^y,y=0,x=1,x=e^2 ?

The answer to area x=e^y,y=0,x=1,x=e^2 is 8.38905…

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area x=e^y,y=0,x=1,x=e^2

area

x = e^{y}, y = 0, x = 1, x = e^{2}

8.38905 \dots

Solution steps

Isolate

y

for

x = e^{y} : y = ln (x)

Apply the area formula:

\int_{1}^{e^{2}} ∣ ln (x) ∣ d x

Solve

\int_{1}^{e^{2}} ∣ ln (x) ∣ d x : 8.38905 \dots

The area is:

= 8.38905 \dots

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What is area x=e^y,y=0,x=1,x=e^2 ?
The answer to area x=e^y,y=0,x=1,x=e^2 is 8.38905…