What is the integral from-infinity to 3 of-e^{4x} ?

The integral from-infinity to 3 of-e^{4x} is -(e^{12})/4

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integral from-infinity to 3 of-e^{4x}

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

- \frac{e ^{12}}{4}

Decimal

- 40688.69785 \dots

Solution steps

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

Compute the indefinite integral:

\int - e^{4 x} d x = - \frac{1}{4} e^{4 x} + C

Compute the boundaries:

\int_{- \infty}^{3} - e^{4 x} d x = - \frac{e ^{12}}{4} - 0

= - \frac{e ^{12}}{4} - 0

Simplify

= - \frac{e ^{12}}{4}

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What is the integral from-infinity to 3 of-e^{4x} ?
The integral from-infinity to 3 of-e^{4x} is -(e^{12})/4