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Originally Posted by dhiab Calculate :
Is it a definite integral actually ?
If we replace x by
I am afraid that i dont have confidence to solve it !
If the u. limit is 1 and l. limit is 0 , then this integral can be written as
Originally Posted by dhiab Calculate : According to Mathematica, the answer is Erfi -- from Wolfram MathWorld
There is an identity which states:
This would be interesting to prove.
Also, since ,
the above can be written as
where is the incomplete gamma function.
Just some food for thought.
Originally Posted by galactus There is an identity which states:
This would be interesting to prove. I might try letting (as mention earlier by SP) giving
then try repeated integration by parts.
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