How do I solve non-linear integration using chi-square and uniform distribution?

[shafieza_garl]

can someone help me to solve this problem.i cannot remember how to solve the non-linear integration.like using chi-square distribution and uniform distribution. which one can i used to solve this integration?

 

[HallsofIvy]

Make the substitution $u= -\alpha(1- \beta)t+ q^{1-\beta}$. Then you will just be integrating constants times u to a constant power.

 

[shafieza_garl]

Sorry..i cannot understand completely of the subtitution there.this is what i understand from what u said.if I am wrong.can u explain more detail for me.because after i subtitute,the eq.cannot be integrate too.

 

[I like Serena]

Apply $\displaystyle \int u^c du = \frac {u^{c+1}} {c+1} \color{gray}{ + C}$.