ln-x-e-x-2-dx-

Question Number 126710 by slahadjb last updated on 23/Dec/20

\int l n (x) e^{x^{2}} d x ? ? ?

Answered by Dwaipayan Shikari last updated on 23/Dec/20

\int e^{x^{2}} l o g (x) d x x^{2} = u \Rightarrow 2 x = \frac{d u}{d x}

= \frac{1}{2} \int u^{- \frac{1}{2}} e^{u} l o g (u) d u

G e n e r a l l y \int_{0}^{x} t^{s - 1} e^{- t} d t = Γ (s, x) (I n c o m p l e t e G a m m a)

H e r e \frac{1}{2} \int u^{- \frac{1}{2}} e^{u} l o g (u) d u = \frac{1}{2} \overset{∙}{Γ} (\frac{1}{2},;)

Commented by slahadjb last updated on 23/Dec/20

> w h e r e i s l o g (u) ?