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

The answer to area y=e^x,y=x,x=0,x=1 is e-3/2

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

area

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

e - \frac{3}{2}

Decimal

1.21828 \dots

Solution steps

Apply the area formula:

\int_{0}^{1} ∣ e^{x} - x ∣ d x

Solve

\int_{0}^{1} ∣ e^{x} - x ∣ d x : e - \frac{3}{2}

The area is:

= e - \frac{3}{2}