What is area e^{4x},e^{8x},x=1 ?

The answer to area e^{4x},e^{8x},x=1 is (e^8-2e^4+1)/8

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area e^{4x},e^{8x},x=1

area

e^{4 x}, e^{8 x}, x = 1

\frac{e ^{8} - 2 e ^{4} + 1}{8}

Decimal

359.09521 \dots

Solution steps

Apply the area formula:

\int_{0}^{1} e^{4 x} - e^{8 x} d x

Solve

\int_{0}^{1} e^{4 x} - e^{8 x} d x : \frac{e ^{8} - 2 e ^{4} + 1}{8}

The area is:

= \frac{e ^{8} - 2 e ^{4} + 1}{8}

What is area e^{4x},e^{8x},x=1 ?
The answer to area e^{4x},e^{8x},x=1 is (e^8-2e^4+1)/8