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

The integral from-3 to infinity of e^{-x} is e^3

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

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

e^{3}

Decimal Notation

20.08553 \dots

Solution steps

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

Compute the indefinite integral:

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

Compute the boundaries:

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

= 0 - (- e^{3})

Simplify

= e^{3}

\frac{1}{1 - x}

\frac{\partial}{\partial z} (- 9 z cos (3 x + yz))

\frac{d}{d x} (1 + x^{2} + y^{2})

\frac{d y}{d x} = 2 y (1 - y)

\frac{x ^{2} + 5 x + 6}{x ^{2} - 4}

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