I was trying to compute the following integration, $$I = \int_0^{\infty} dt_2\int_0^{\infty} dt_1 \frac{1}{t-t_1-t_2-t_3}\exp{(i\Omega(t_1+t_1+t_1)-i\omega_0t_1)}$$

I have taken $\Omega = 5.12$ and $\omega_0=2.35$. Instead of doing double integration in one NIntegrate, if was trying the following,

int1[t_?NumericQ, t2_?NumericQ, t3_?NumericQ]:= 
 NIntegrate[(t - t1 - t2 - t3)^-1*Exp[I*(\[CapitalOmega]*(t1 + t1 + t1) - 
     \[Omega]0*t1)], {t1, 0, \[Infinity]}, Method -> "LocalAdaptive"]

int2[t_, t3_] := NIntegrate[int1[t, t2, t3], {t2, 0,\[Infinity]}]

But its evaluation gives the following error,

I have a difficult time understanding the error. Does anyone have a solution to this?

I was trying to compute the following integration, $$I = \int_0^{\infty} dt_2\int_0^{\infty} dt_1 \frac{1}{t-t_1-t_2-t_3}\exp{(i\Omega(t_1+t_1+t_1)-i\omega_0t_1)}$$

I have taken $\Omega = 5.12$ and $\omega_0=2.35$. Instead of doing double integration in one NIntegrate, if was trying the following,

int1[t_?NumericQ, t2_?NumericQ, t3_?NumericQ]:= 
 NIntegrate[(t - t1 - t2 - t3)^-1*Exp[I*(\[CapitalOmega]*(t1 + t1 + t1) - 
     \[Omega]0*t1)], {t1, 0, \[Infinity]}, Method -> "LocalAdaptive"]

int2[t_, t3_] := NIntegrate[int1[t, t2, t3], {t2, 0,\[Infinity]}]

But the evaluation of int2[1,1] gives the following error,

I have a difficult time understanding the error. Does anyone have a solution to this?