integrate-w-r-t-x-e-x-2-dx-

Question Number 30008 by Jmasanja last updated on 14/Feb/18

i n t e g r a t e w . r . t x

\int (e^{x^{2}}) d x

Commented by abdo imad last updated on 14/Feb/18

w e h a v e e^{u} = \sum_{n = 0}^{\infty} \frac{u^{n}}{n!} \Rightarrow e^{x^{2}} = \sum_{n = 0}^{\infty} \frac{x^{2 n}}{n!} a n d d u e t o

u n i f o r m c o n v e r g e n c e \int e^{x^{2}} d x = \sum_{n = 0}^{\infty} \frac{x^{2 n + 1}}{(2 n + 1) (n!)} \dots .