What is the integral from-infinity to 8 of e^{0.04x} ?

The integral from-infinity to 8 of e^{0.04x} is 34.42819…

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integral from-infinity to 8 of e^{0.04x}

\int_{- \infty}^{8} e^{0.04 x} d x

34.42819 \dots

Solution steps

\int_{- \infty}^{8} e^{0.04 x} d x

Compute the indefinite integral:

\int e^{0.04 x} d x = 25 e^{0.04 x} + C

Compute the boundaries:

\int_{- \infty}^{8} e^{0.04 x} d x = 34.42819 \dots - 0

= 34.42819 \dots - 0

Simplify

= 34.42819 \dots

(t + e^{t}) (3 - t)

x \to 0 lim (\frac{x}{cos ( x ) - 1})

x \to 5 lim (3 x - 3)

y ln (x) \frac{d y}{d x} = (\frac{y + 1}{x})^{2}

\frac{d}{d x} (\frac{2 x ^{2} - 5 x}{3 x + 5})

What is the integral from-infinity to 8 of e^{0.04x} ?
The integral from-infinity to 8 of e^{0.04x} is 34.42819…