Please answer questions 1-3.

Exercise III: Sneaky integral We wish to compute, for a natural number n, the integral 1 L=Luru. 1. Compute In and 11. 2 2. Why can we not substitute u = l a: in order to compute In? 3. Compute [3(1 - 2:2)\"'1d:t:. 4. Use the previous quwtion and [BF to express the integral 1 / 12(1 1:2)"_ld.1: o in terms of In. 5. Deduce a formula for In in terms of LH. 6. Deduce the value of In. You can write with or with factorials