What is the integral from-infinity to 20 of re^{r/5} ?

The integral from-infinity to 20 of re^{r/5} is 75e^4

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integral from-infinity to 20 of re^{r/5}

\int_{- \infty}^{20} r e^{\frac{r}{5}} d r

75 e^{4}

Decimal

4094.86125 \dots

Solution steps

\int_{- \infty}^{20} r e^{\frac{r}{5}} d r

Compute the indefinite integral:

\int r e^{\frac{r}{5}} d r = 5 e^{\frac{r}{5}} r - 25 e^{\frac{r}{5}} + C

Compute the boundaries:

\int_{- \infty}^{20} r e^{\frac{r}{5}} d r = 75 e^{4} - 0

= 75 e^{4} - 0

Simplify

= 75 e^{4}

What is the integral from-infinity to 20 of re^{r/5} ?
The integral from-infinity to 20 of re^{r/5} is 75e^4