What is the integral from-infinity to 0 of e^{4x} ?

The integral from-infinity to 0 of e^{4x} is 1/4

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integral from-infinity to 0 of e^{4x}

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

\frac{1}{4}

Decimal Notation

0.25

Solution steps

\int_{- \infty}^{0} 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}^{0} e^{4 x} d x = \frac{1}{4} - 0

= \frac{1}{4} - 0

Simplify

= \frac{1}{4}

x \to 0 lim (e^{3 x})

\int \frac{arcsin ( x )}{1 - x ^{2}} d x

x \to 4 lim (\frac{∣ x - 4 ∣}{x - 4})

\int e^{- s t - t} d t

\frac{d}{d x} (cos (x) x^{3})

What is the integral from-infinity to 0 of e^{4x} ?
The integral from-infinity to 0 of e^{4x} is 1/4