What is area e^x,e^{-4x},x=ln(3) ?

The answer to area e^x,e^{-4x},x=ln(3) is 142/81

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area e^x,e^{-4x},x=ln(3)

area

e^{x}, e^{- 4 x}, x = ln (3)

\frac{142}{81}

Decimal Notation

1.75308 \dots

Solution steps

Apply the area formula:

\int_{0}^{l n (3)} e^{x} - e^{- 4 x} d x

Solve

\int_{0}^{l n (3)} e^{x} - e^{- 4 x} d x : \frac{142}{81}

The area is:

= \frac{142}{81}

\int_{1}^{3} ((x)^{3} + e^{- 3 x}) d x

x \to 36 lim (x)

x \to 3 lim ((4 x + 5) (3 x - 2))

x \to - \infty lim (1 + x^{2})

y = x ln (x)

What is area e^x,e^{-4x},x=ln(3) ?
The answer to area e^x,e^{-4x},x=ln(3) is 142/81