anonymous
  • anonymous
integration of "e" raise to power "x" square
Mathematics
chestercat
  • chestercat
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lgbasallote
  • lgbasallote
\[\huge \int e^{x^2}dx\] ???
lgbasallote
  • lgbasallote
is that your question?
anonymous
  • anonymous
yes

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lgbasallote
  • lgbasallote
..this isn't solveable by natural means...
anonymous
  • anonymous
well how do i slove it?
lgbasallote
  • lgbasallote
numerical analysis was the term if i remember it right
anonymous
  • anonymous
erf...?
lgbasallote
  • lgbasallote
yup. those kinds of functions
lgbasallote
  • lgbasallote
only mathematicians solve this. Because they love solving imaginary problems.
anonymous
  • anonymous
well i am solving an ode and the question is if the given y satisfies it and it contains.. inte^x^2...
lgbasallote
  • lgbasallote
they give these stuffs in ode now? are you by any chance from a premier university?
anonymous
  • anonymous
haha well Ph.D.. i have forgotten the basics.. was just revising
anonymous
  • anonymous
http://www.wolframalpha.com/input/?i=error+function&dataset=&asynchronous=false&equal=Submit
anonymous
  • anonymous
http://www.wolframalpha.com/input/?i=integrate+e^%28x^2%29 imaginary error function !!
lgbasallote
  • lgbasallote
I am a PhD myself. However, I'm from Liberal Arts...
anonymous
  • anonymous
lgbasallote
  • lgbasallote
i think @gaurangnaware wants to know how to get that erf function....
anonymous
  • anonymous
lol Algebraic
anonymous
  • anonymous
use series
anonymous
  • anonymous
Thanx Mukushla.. go it!
anonymous
  • anonymous
no problem :)
anonymous
  • anonymous
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.
anonymous
  • anonymous
anonymous
  • anonymous
anonymous
  • anonymous
or use polar

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