Correct Option: D

To see whether the integrals are bounded or unbounded, we need to see that the integrand doesn’t r each i nfi ni t y i n t he i nt er val of integration. Let us write down the range of the integrands in the 4 options,
a → (0, 1); b → (0, 1); c → (0, 1 / e ); d → (0, ∞)

Thus ,(d) , i.e.

dx is unbounded .