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Given that int(-oo)^( oo)e^(-x^(2))dx=sq...

Given that `int_(-oo)^( oo)e^(-x^(2))dx=sqrt(pi)` and `f(t)=int_(-oo)^( oo)e^(-tx^(2))dx(t>0)` ,then `2|(f'(t))/(sqrt(pi))times t^(3/2)|` is

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