How do you go about integrating this?

>>8653321
Let's just say you can't.

>>8653321
Just go to WolfRamAlpha

>>8653321
Natural logarithms might be useful.

>>8653321
here ya go
http://www.integral-calculator.com/

>>8653321
Double integration with dummy variables

on mobile and on toilet so pls correct any mistakes
if that's a absolute value, you need to split this into 2 integrals
this is
e^(1-x^2)
outside of [-1,1]
and
e^(x^2-1)
inside that interval

i believe these are
2e/sqrt[pi] erf(x)
and
2/esqrt[pi] erf(x)
respectively

>>8653321

Is that ( t2 + 1 ) or | t2 + 1 |

File: 5bc143406c74a3316c0e70aa4bf9779e6bfb44f69baa03f1df0615d1d6319040.jpg (77KB, 693x743px) Image search: [Google]

77KB, 693x743px

just complete the square... its a text book gaussian integral... also wolfram alpha...

>>8653321

i'd try writing it as a series

>>8653321

The indefinite integral can't be expressed, but if you give us integration interval then there's a way we could help.

>>8653321
Simpson

>>8653321
Start by making it piecewise, for the absolute value, i.e. 3 integrals added together, one from t=-inf to t=-1, t=-1 to t=1, and one from t=1 to t=inf.

>>8653506
erf(x) is not the antiderivative of e^(-x^2) anon

>>8654029
>indefinite integral
>gauss integral
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