Doing partial integration gets me nowhere. Is this a standard integral?
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why not try
Let's get rid of integration limits, since it's not the interesting case. Integrate by parts: Now a little of make-up This yields For the last integral substitute finally and we happily get
Hello, Spec! No one suggested Trig Substitution? Let Substitute: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Thanks! Just out of curiousity, the original problem was to solve (I just made a substitution): It it possible to solve that one without the substitution, and thus the following somewhat complicated calculation?
Substitute and you know what's next. P.S.: sorry, I misread your question, let me see if it can be tackled with a nice way.
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