use quadl for the function in the border

Hi. I am new to this Forum and I have a question to which I did yet not find an appropriate answer. Maybe someone can help.
I would like to solve an integral which has a function as border.The border-function itself depends on the variable which the integral will be integrated.
For instance, look at this integral:
My problem is not analyticly solvable so I need a numeric solution. Working with quad() and function-handles as borders doesn't work either. So how to integrate?
Thank you for your help, Sveta

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2012-7-11

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