What is the integral from-infinity to 0 of e^{-2x} ?

The integral from-infinity to 0 of e^{-2x} is diverges

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integral from-infinity to 0 of e^{-2x}

\int_{- \infty}^{0} e^{- 2 x} d x

diverges

Solution steps

\int_{- \infty}^{0} e^{- 2 x} d x

Compute the indefinite integral:

\int e^{- 2 x} d x = - \frac{1}{2} e^{- 2 x} + C

Compute the boundaries:

\int_{- \infty}^{0} e^{- 2 x} d x =

diverges

= diverges

y^{^{''}} + 10 y^{^{'}} + 21 y = 0

(9 x + 2)^{\frac{2}{3}}

\int (4 x + 2) (x - 1) d x

y^{^{'}} + y = 5 x y^{3}

\int \frac{1}{1 - t} d t

What is the integral from-infinity to 0 of e^{-2x} ?
The integral from-infinity to 0 of e^{-2x} is diverges