Integral problem with maple

Question:Integral problem with maple

Posted: ahmeduqat 5 Product: Maple 11

August 21 2014

I have a great problem with this integral and Maple gives two answers completely different:

$int(x^-5/3*cos((x-1)*h), x = 0..infinity)$

so I get two different results :

$-(27/8)*h^2+3/2+(27/8)*h^(7/6)*LommelS2(11/6, 1/2, h)$

or this:

$-(27/8)*h^2+3/2+(27/8)*h^(7/6)*LommelS1(11/6, 1/2, h)$

In the first integral A get Lommels2 and If I get the Integral by using Taylor of $cos((x-1)*h)$ and after that I resum I get Lommels1.

Thank you.

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