What is the integral of e^{-x/(11)} ?

The integral of e^{-x/(11)} is -11e^{-x/(11)}+C

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integral of e^{-x/(11)}

\int e^{- \frac{x}{11}} d x

- 11 e^{- \frac{x}{11}} + C

Solution steps

\int e^{- \frac{x}{11}} d x

Apply u-substitution

= \int - 11 e^{u} d u

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - 11 \cdot \int e^{u} d u

Use the common integral:

\int e^{u} d u = e^{u}

= - 11 e^{u}

Substitute back

u = - \frac{x}{11}

= - 11 e^{- \frac{x}{11}}

Add a constant to the solution

= - 11 e^{- \frac{x}{11}} + C

What is the integral of e^{-x/(11)} ?
The integral of e^{-x/(11)} is -11e^{-x/(11)}+C