What is the integral of ke^{-k^2} ?

The integral of ke^{-k^2} is ke^{-k^2}x+C

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integral of ke^{-k^2}

\int k e^{- k^{2}}

k e^{- k^{2}} x + C

Solution steps

\int k e^{- k^{2}} d x

Integral of a constant:

\int a d x = a x

= k e^{- k^{2}} x

Add a constant to the solution

= k e^{- k^{2}} x + C

\frac{d}{d x} (10 + (\frac{50 x}{2 x ^{2} + 9}))

x \to 0 - lim (\frac{6}{x} - \frac{6}{∣ x ∣})

x \cdot y^{^{'}} + y = x^{4} \cdot y^{3}

\int t^{19} e^{- t^{20}} d t

\frac{5}{s ^{3} - 2 s ^{2} - 3 s}