What is the integral from-infinity to 0 of e^{x/2} ?

The integral from-infinity to 0 of e^{x/2} is 2

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integral from-infinity to 0 of e^{x/2}

\int_{- \infty}^{0} e^{\frac{x}{2}} d x

2

Solution steps

\int_{- \infty}^{0} e^{\frac{x}{2}} d x

Compute the indefinite integral:

\int e^{\frac{x}{2}} d x = 2 e^{\frac{x}{2}} + C

Compute the boundaries:

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

= 2 - 0

Simplify

= 2

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What is the integral from-infinity to 0 of e^{x/2} ?
The integral from-infinity to 0 of e^{x/2} is 2