What is area e^{3x},e^x,[0,1] ?

The answer to area e^{3x},e^x,[0,1] is (e^3-1)/3-e+1

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area e^{3x},e^x,[0,1]

area

e^{3 x}, e^{x}, [0, 1]

\frac{e ^{3} - 1}{3} - e + 1

Decimal Notation

4.64356 \dots

Solution steps

Apply the area formula:

\int_{0}^{1} e^{3 x} - e^{x} d x

Solve

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

The area is:

= \frac{e ^{3} - 1}{3} - e + 1

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What is area e^{3x},e^x,[0,1] ?
The answer to area e^{3x},e^x,[0,1] is (e^3-1)/3-e+1