(Solved): Determine if the improper integral is convergent or divergent, and calculate its value if it is con ...

Determine if the improper integral is convergent or divergent, and calculate its value if it is convergent. \[ \int_{0}^{\infty} 12 e^{-4 x} d x \] Calculate the value of the improper integral. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. \( \int_{0}^{\infty} 12 e^{-4 x} d x= \) B. The improper integral diverges.