What is the integral from-9 to infinity of-4e^{-4x} ?

The integral from-9 to infinity of-4e^{-4x} is -e^{36}

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integral from-9 to infinity of-4e^{-4x}

\int_{- 9}^{\infty} - 4 e^{- 4 x} d x

- e^{36}

Solution steps

\int_{- 9}^{\infty} - 4 e^{- 4 x} d x

Compute the indefinite integral:

\int - 4 e^{- 4 x} d x = e^{- 4 x} + C

Compute the boundaries:

\int_{- 9}^{\infty} - 4 e^{- 4 x} d x = 0 - e^{36}

= 0 - e^{36}

Simplify

= - e^{36}

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What is the integral from-9 to infinity of-4e^{-4x} ?
The integral from-9 to infinity of-4e^{-4x} is -e^{36}