Question: Find the integration of nonlinear integrand

Hi 

I need yours help to solve the given integral 
 

restart

A = 3*(q-1)^(-1/(1+r))*GAMMA(q-3/(2+2*r))*GAMMA(3/(2+2*r))/(GAMMA(5/(2+2*r))*GAMMA(q-5/(2+2*r)));

g := int(`ε`*(1+(`ε`/(A*t))^(1+r)/(q-1))^(-q)*c*exp(-`ε`/a), `ε` = 0 .. infinity);

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NULL

NULL

q,c,a and r are parameters.
Γ is a gamma function.

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