Question

integration of "e" raise to power "x" square

Answer 1

\[\huge \int e^{x^2}dx\]
???

Answer 2

is that your question?

Answer 3

yes

Answer 4

..this isn't solveable by natural means...

Answer 5

well how do i slove it?

Answer 6

numerical analysis was the term if i remember it right

Answer 7

erf...?

Answer 8

yup. those kinds of functions

Answer 9

only mathematicians solve this. Because they love solving imaginary problems.

Answer 10

well i am solving an ode
and the question is if the given y satisfies it and it contains.. inte^x^2...

Answer 11

they give these stuffs in ode now? are you by any chance from a premier university?

Answer 12

haha
well Ph.D.. i have forgotten the basics.. was just revising

Answer 13

http://www.wolframalpha.com/input/?i=error+function&dataset=&asynchronous=false&equal=Submit

Answer 14

http://www.wolframalpha.com/input/?i=integrate+e^%28x^2%29

imaginary error function !!

Answer 15

I am a PhD myself. However, I'm from Liberal Arts...

Answer 16

@mukushla jinx

Answer 17

i think @gaurangnaware wants to know how to get that erf function....

Answer 18

lol Algebraic

Answer 19

use series

Answer 20

Thanx Mukushla.. go it!

Answer 21

no problem :)

Answer 22

series expantion of ex2 is:
\[e ^{x ^{2}}=1+\frac{x ^{2}}{1!}+\frac{x ^{4}}{2!}+\frac{x ^{6}}{3!}+....\]
this is a uniformly convergent series, so you can integrate it term by term. So just integrate each term to get your answer.

Answer 23

@gaurangnaware

Answer 24

@lgbasallote

Answer 25

or use polar