What is the integral from 0 to infinity of 3e^{-x} ?

The integral from 0 to infinity of 3e^{-x} is 3

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integral from 0 to infinity of 3e^{-x}

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

3

Solution steps

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

Compute the indefinite integral:

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

Compute the boundaries:

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

= 0 - (- 3)

Simplify

= 3

12 t

30 x - 3 x

\frac{d}{d x} (\frac{x ^{2} + 4 x + 3}{x})

\frac{d}{d x} (x^{4} (tan (x) + sec (x)))

x \to 0 lim (- x^{2} + 5 x + a)

What is the integral from 0 to infinity of 3e^{-x} ?
The integral from 0 to infinity of 3e^{-x} is 3