Question

∫[∞,2] 6/sqrtx dx = ? the ∞ is the upper limit and 2 is lower limit
(if the integeral divereges to ∞ or -∞ type that, if not, type DNE

Answer 1

This integral diverges to infinity because the integrand approaches infinity as x approaches 0 from the right. Therefore, the answer is ∞.

Answer 2

∫[2,∞] 6/√x dx = 12√x [2,∞] = 12(√∞ - √2) = ∞