please explain why its convergent or divergent, so i can understand

[-/8 Points] DETAILS SCALCET8 7.8.013. Determine whether the integral is convergent or divergent. 5xe-t2 dx O convergent O divergent If it is convergent, evaluate it. (If the quantity diverges, enter DIVERGES.) Need Help? Read It Watch It [-18 Points] DETAILS SCALCET8 7.8.014. Determine whether the integral is convergent or divergent. e-1/ dx 12 convergent divergent If it is convergent, evaluate it. (If the quantity diverges, enter DIVERGES.) -/8 Points] DETAILS SCALCET8 7.8.017. Determine whether the integral is convergent or divergent. 00 so x2 + x dx convergent O divergent If it is convergent, evaluate it. (If the quantity diverges, enter DIVERGES.) Need Help? Read It Watch It [-/8 Points] DETAILS SCALCET8 7.8.021. Determine whether the integral is convergent or divergent. In(x) dx 17 convergent divergent If it is convergent, evaluate it. (If the quantity diverges, enter DIVERGES.) Need Help? Read It Watch It