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

The integral from-2 to infinity of e^{-x} is e^2

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

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

e^{2}

Decimal

7.38905 \dots

Solution steps

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

Compute the indefinite integral:

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

Compute the boundaries:

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

= 0 - (- e^{2})

Simplify

= e^{2}

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