What is the integral from-infinity to 4 of 2e^x ?

The integral from-infinity to 4 of 2e^x is 2e^4

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integral from-infinity to 4 of 2e^x

\int_{- \infty}^{4} 2 e^{x} d x

2 e^{4}

Decimal

109.19630 \dots

Solution steps

\int_{- \infty}^{4} 2 e^{x} d x

Compute the indefinite integral:

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

Compute the boundaries:

\int_{- \infty}^{4} 2 e^{x} d x = 2 e^{4} - 0

= 2 e^{4} - 0

Simplify

= 2 e^{4}

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What is the integral from-infinity to 4 of 2e^x ?
The integral from-infinity to 4 of 2e^x is 2e^4