What is the integral from-infinity to 0 of e^{x/4} ?

The integral from-infinity to 0 of e^{x/4} is 4

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integral from-infinity to 0 of e^{x/4}

\int_{- \infty}^{0} e^{\frac{x}{4}} d x

4

Solution steps

\int_{- \infty}^{0} e^{\frac{x}{4}} d x

Compute the indefinite integral:

\int e^{\frac{x}{4}} d x = 4 e^{\frac{x}{4}} + C

Compute the boundaries:

\int_{- \infty}^{0} e^{\frac{x}{4}} d x = 4 - 0

= 4 - 0

Simplify

= 4

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What is the integral from-infinity to 0 of e^{x/4} ?
The integral from-infinity to 0 of e^{x/4} is 4