Problem 7.8. Determine if each of the following improper integrals is CONVERGENT or DIVERGENT. If it is convergent, determine what it converges to: \( \int_{3}^{\infty} \frac{1}{\sqrt{t^3}} dt, \), \( \int_{0}^{1} \frac{1}{\sqrt{x^3}} dx, \), \( \int_{0}^{\infty} e^{-32x} dx, \), \( \int_{0}^{\infty} e^{32t} dt. \)