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Originally Posted by dhiab Calculate : Is it a definite integral actually ? If we replace x by then the integral 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 and 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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