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

The integral from 0 to infinity of e^{-mx} is 1/m

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integral from 0 to infinity of e^{-mx}

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

\frac{1}{m}

Solution steps

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

Compute the indefinite integral:

\int e^{- m x} d x = - \frac{1}{m} e^{- m x} + C

Compute the boundaries:

\int_{0}^{\infty} e^{- m x} d x = 0 - (- \frac{1}{m})

= 0 - (- \frac{1}{m})

Simplify

= \frac{1}{m}

\int_{- 4}^{1} x^{2} + 3 x - 4 d x

\int_{0}^{2} \frac{x}{50} d x

\int_{- 4}^{4} x^{3} d x

\int_{- 1}^{0} x^{2} e^{x^{3}} d x

\int_{0}^{1} x^{y} d x

What is the integral from 0 to infinity of e^{-mx} ?
The integral from 0 to infinity of e^{-mx} is 1/m