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I'm working with the integral from 0 to infinity of
t^(x-1)e^(-atcos(b))cos(atsin(b))
with respect to t. specifically, I'm asked to solve in terms of the gamma function. my question is more of what general technique i should use. all I've been able to do so far is beat it to death using integration by parts, with several different choices for the parts. the main problem i see here is the trig function within the trig function. any insights?
thanks in advance.
t^(x-1)e^(-atcos(b))cos(atsin(b))
with respect to t. specifically, I'm asked to solve in terms of the gamma function. my question is more of what general technique i should use. all I've been able to do so far is beat it to death using integration by parts, with several different choices for the parts. the main problem i see here is the trig function within the trig function. any insights?
thanks in advance.