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Popular Calculus >

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

Solution

area

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

Solution

e - 2

+1

Decimal

0.71828 \dots

Solution steps

Apply the area formula:

\int_{0}^{1} ∣ e^{x} - x e^{x} ∣ d x

Solve

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

The area is:

= e - 2

Graph

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Frequently Asked Questions (FAQ)

What is area y=e^x,y=xe^x,x=0 ?
The answer to area y=e^x,y=xe^x,x=0 is e-2