I would like to compute the integral of discrete signal segment Y (Y=[y1,y2,...y50]) with X to be the corresponding time instants as in the following:
x=['2018-01-24T13:41:25.057000000' '2018-01-24T13:41:25.069000000'
'2018-01-24T13:41:25.077000000' '2018-01-24T13:41:25.090000000'
'2018-01-24T13:41:25.097000000' '2018-01-24T13:41:25.111000000'
'2018-01-24T13:41:25.117000000' '2018-01-24T13:41:25.130000000'
'2018-01-24T13:41:25.138000000' '2018-01-24T13:41:25.150000000'
'2018-01-24T13:41:25.158000000' '2018-01-24T13:41:25.170000000'
'2018-01-24T13:41:25.178000000' '2018-01-24T13:41:25.199000000'
'2018-01-24T13:41:25.200000000' '2018-01-24T13:41:25.211000000'
'2018-01-24T13:41:25.218000000' '2018-01-24T13:41:25.231000000'
'2018-01-24T13:41:25.238000000' '2018-01-24T13:41:25.250000000'
'2018-01-24T13:41:25.258000000' '2018-01-24T13:41:25.269000000'
'2018-01-24T13:41:25.278000000' '2018-01-24T13:41:25.290000000'
'2018-01-24T13:41:25.298000000' '2018-01-24T13:41:25.311000000'
'2018-01-24T13:41:25.317000000' '2018-01-24T13:41:25.331000000'
'2018-01-24T13:41:25.338000000' '2018-01-24T13:41:25.350000000'
'2018-01-24T13:41:25.358000000' '2018-01-24T13:41:25.370000000'
'2018-01-24T13:41:25.378000000' '2018-01-24T13:41:25.390000000'
'2018-01-24T13:41:25.398000000' '2018-01-24T13:41:25.411000000'
'2018-01-24T13:41:25.418000000' '2018-01-24T13:41:25.430000000'
'2018-01-24T13:41:25.437000000' '2018-01-24T13:41:25.450000000'
'2018-01-24T13:41:25.469000000' '2018-01-24T13:41:25.469000000'
'2018-01-24T13:41:25.479000000' '2018-01-24T13:41:25.493000000'
'2018-01-24T13:41:25.502000000' '2018-01-24T13:41:25.510000000'
'2018-01-24T13:41:25.517000000' '2018-01-24T13:41:25.530000000'
'2018-01-24T13:41:25.537000000' '2018-01-24T13:41:25.550000000']
Please, note that the distance between two points is not regular but it may change. My question is: Can I abstract the above time by considering the integral over X where I define X=[0,1,2,...49] or I need to consider the above times in a different way?
Many Thanks, Best Regards, carlo