What is area y=e^x,y=e^{-4x},x=ln(4) ?

The answer to area y=e^x,y=e^{-4x},x=ln(4) is 2817/1024

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area y=e^x,y=e^{-4x},x=ln(4)

area

y = e^{x}, y = e^{- 4 x}, x = ln (4)

\frac{2817}{1024}

Decimal Notation

2.75097 \dots

Solution steps

Apply the area formula:

\int_{0}^{l n (4)} e^{x} - e^{- 4 x} d x

Solve

\int_{0}^{l n (4)} e^{x} - e^{- 4 x} d x : \frac{2817}{1024}

The area is:

= \frac{2817}{1024}

\int \frac{1}{x ( x + 1 ) ( x + 2 )} d x

\frac{d}{d x} (e^{\frac{- x}{4}})

\frac{\partial}{\partial y} (e^{- x} cos (yz) z)

\frac{\partial}{\partial y} (3 x - 4 x y + 9 y)

\frac{d}{d x} (\frac{x - 2}{x - 1})

What is area y=e^x,y=e^{-4x},x=ln(4) ?
The answer to area y=e^x,y=e^{-4x},x=ln(4) is 2817/1024