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Prove that int0^x e^(x t)e^-t^2dt=e^(x^(...

Prove that `int_0^x e^(x t)e^-t^2dt=e^(x^(2)/4)int_0^x e^-(t^(2)/4)dt`

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Prove that int_0^x e^(x t-t^2) dt=e^(x^(2)/4)int_0^x e^-(t^(2)/4)dt

Prove that int_0^x e^(x t-t^2) dt=e^(x^(2)/4)int_0^x e^-(t^(2)/4)dt

Prove that int_(0)^(x)e^(xt)e^(-t^(2))dt=e^(x^(2)/4)int_(0)^(x)e^(-t^(2)/4)dt .

Prove that int_(0)^(x)e^(xt)e^(-t^(2))dt=e^(x^(2)//4)int_(0)^(x)e^(-t^(2)//4)dt .

Prove that int_(0)^(x)e^(xt)e^(-t^(2))dt=e^(x^(2)//4)int_(0)^(x)e^(-t^(2)//4)dt .

Prove that int_(0)^(x)e^(xt).e^(-t^(2))dt=e^(x^(2)//4)int_(0)^(x)e^(-t^(2)//4)dt .

Prove that int_(0)^(x)e^(xt)e^(-t^(2))dt=e^((z^(2))/(4))int_(0)^(x)e^(-(t^(2))/(4))dt

If int_(0)^(x)e^(xt).e^(-t^(2))dt=e^(x^(2)//4)int_(0)^(x)f(t)dt then f(t) is a) e^(-t^(2)//4) b) e^(-t//4) c) 2e^(t^(2)//4) d) e^(t^(2)//2)

Lt_(x to oo) ((int_(0)^(x) e^(t) dt)^(2))/(int_(0)^(x)e^(2t^(2))dt)

lim_(xrarroo)((int_(0)^(x)e^(t^(2))dt)^(2))/(int_(0)^(x)e^(2t^(2))dt) is equal to