What is the integral from 2 to infinity of e^{-x/3} ?

The integral from 2 to infinity of e^{-x/3} is 3/(e^{2/3)}

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integral from 2 to infinity of e^{-x/3}

\int_{2}^{\infty} e^{- \frac{x}{3}} d x

\frac{3}{e ^{\frac{2}{3}}}

Decimal

1.54025 \dots

Solution steps

\int_{2}^{\infty} e^{- \frac{x}{3}} d x

Compute the indefinite integral:

\int e^{- \frac{x}{3}} d x = - 3 e^{- \frac{x}{3}} + C

Compute the boundaries:

\int_{2}^{\infty} e^{- \frac{x}{3}} d x = 0 - (- \frac{3}{e ^{\frac{2}{3}}})

= 0 - (- \frac{3}{e ^{\frac{2}{3}}})

Simplify

= \frac{3}{e ^{\frac{2}{3}}}

cos (sin (x^{3}))

y^{3} - (18 x + 4) + 3 x y^{2} y^{^{'}} = 0

\frac{\partial}{\partial x} (e^{- x} \cdot (x - y^{2}))

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

\frac{d}{d x} (x \cdot e^{x y})

What is the integral from 2 to infinity of e^{-x/3} ?
The integral from 2 to infinity of e^{-x/3} is 3/(e^{2/3)}