What is the integral from-infinity to 0 of 20ze^{2z} ?

The integral from-infinity to 0 of 20ze^{2z} is -5

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integral from-infinity to 0 of 20ze^{2z}

\int_{- \infty}^{0} 20 z e^{2 z} d z

- 5

Solution steps

\int_{- \infty}^{0} 20 z e^{2 z} d z

Compute the indefinite integral:

\int 20 z e^{2 z} d z = 5 (2 e^{2 z} z - e^{2 z}) + C

Compute the boundaries:

\int_{- \infty}^{0} 20 z e^{2 z} d z = - 5 - 0

= - 5 - 0

Simplify

= - 5

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What is the integral from-infinity to 0 of 20ze^{2z} ?
The integral from-infinity to 0 of 20ze^{2z} is -5