What is the integral from-infinity to 0 of e^{6x} ?

The integral from-infinity to 0 of e^{6x} is 1/6

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integral from-infinity to 0 of e^{6x}

\int_{- \infty}^{0} e^{6 x} d x

\frac{1}{6}

Decimal

0.16666 \dots

Solution steps

\int_{- \infty}^{0} e^{6 x} d x

Compute the indefinite integral:

\int e^{6 x} d x = \frac{1}{6} e^{6 x} + C

Compute the boundaries:

\int_{- \infty}^{0} e^{6 x} d x = \frac{1}{6} - 0

= \frac{1}{6} - 0

Simplify

= \frac{1}{6}

\frac{d}{d x} (ln (5^{x}))

\frac{\partial}{\partial x} (\frac{- 4}{x + y})

d er i v a t i v e y = \frac{1}{7 x ^{\frac{6}{7}}}

t an g e n t f (x) = x^{2} - 7, (4, 9)

in v erse l a pl a ce \frac{( s + 1 )}{( s ^{2} + 4 s + 20 )}

What is the integral from-infinity to 0 of e^{6x} ?
The integral from-infinity to 0 of e^{6x} is 1/6