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vestpn

vestpn

Answered question

2022-05-27

How to integrate:
e a x 2 x 2 + 1 ( 2 a ) d x

Answer & Explanation

delalbaef

delalbaef

Beginner2022-05-28Added 10 answers

We have
   +  e  a x 2 x 2 + 1 2 a d x = 2 a    +  e  1 2 t 2 t 2 + 1 d t = 2 2 a  0 +  e  1 2 t 2 t 2 + 1 d t = π 2 a e 1 2 erfc  ( 1 2 ) 
And the corresponding error function is called erfc. Recall that
π 2 a e 1 2 erfc  ( 1 2 ) = ( 2.324323459  ) × a .

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