Can we Simplify the Integration of Q Function with a Change of Variable?

[myarram]

can we simplify the below equation into another Q function?

∫0,4T(Q(2∏*(0.3) * ((t-5T/2)/(T√(ln2)))dt
where T is a constant

I have attached the equation in the attachements

 

[Mark44]

can we simplify the below equation into another Q function?

∫0,4T(Q(2∏*(0.3) * ((t-5T/2)/(T√(ln2)))dt
where T is a constant

I have attached the equation in the attachements

What is a Q function?

 

[myarram]

Please refer the below URL for information about the Q function

http://en.wikipedia.org/wiki/Q-function

 

[lurflurf]

$$\int_0^x \mathrm{Q}(t) \, \mathrm{dt}=\frac{1}{2}\int_0^x \mathrm{erfc} \left( \frac{t}{\sqrt{2}} \right) \, \mathrm{dt}=\frac{1}{2} x \, \mathrm{erfc} \left(\frac{x}{\sqrt{2}}\right)+\frac{1}{\sqrt{2 \pi}}\left(1-e^{-x^2/2}\right)= x \, \mathrm{Q} \left( x \right)+\frac{1}{\sqrt{2 \pi}}\left(1-e^{-x^2/2}\right)$$
which can be shown by integration by parts
your integral can then be found by change of variable