What is the integral from-infinity to 2t of e^x ?

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

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integral from-infinity to 2t of e^x

\int_{- \infty}^{2 t} e^{x} d x

e^{2 t}

Solution steps

\int_{- \infty}^{2 t} e^{x} d x

Compute the indefinite integral:

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

Compute the boundaries:

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

= e^{2 t} - 0

Simplify

= e^{2 t}

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