Greetings Vgrchada.
In order to resample unevenly space data, try the Resample (constant to variable).vi or the example in this forum I found.
Yes, the result of the integration will be a single point. You have to select subsets of the resampled array and for each single point (which represents the integration of the subset) assign an X position in another array. (For example, if you select a subset of points 0 to 9 of the resampled signal, assign an X position of 10; then select a subset of points 10 to 19 and assign an X position of 20; and so on) Then, build an XY graph so that the result of each individual integration operation is plotted at the proper X position. Finally plot that waveform in the same XY graph. The result is basically what you want.
Have a nice day.
Luis J.
Applications Engineer
National Instruments