i am getting myself a bit lost with the integration of a function P(x), i have tried to solve it by integration by parts, but then end up needing to integrate arcsin(x-3), which is proving trickier than i was expecting, i have come up with an answer but its not give the results that i expect, i'e between the limits of 2 and 4 the answer should be 3. would anyone mind looking at the attached PDF and give me a few pointers where i am going wrong

Cheers

WN