Calculate the area under each peak in a graph in python

Question

I am trying to calculate the area under each peak in a graph that I plotted with a set of x and y co-ordinates,

I don't have a function for (x,y), and so I haven't been able to find an appropriate method to do the same.

the co-ordinates are

{
 [10 10]
 [11  1]
 [12  7]
 [14  4]
 [16  8]
 [17  5]]}

And y=0 for all the unmarked x values

Answer 1

You have to process one by one for each trapezoid.

Area_1 = ( y1 + y2 ) * 1 / 2

example : (10 + 1 ) * 1 / 2

Answer 2

A bit simple and correct?

points = [[10, 10],
          [11, 1],
          [12, 7],
          [14, 4],
          [16, 8],
          [17, 5]]

areas = []
areas.append( points[0][0]/2.0 )

for i in range(0, points[-1][0] - points[0][0]-2):

    if ( points[i+1][0] == points[i][0]+1 ):
        areas.append( (points[i+1][1] + points[i][1] )/2.0)
    elif ( points[i+1][0] >= points[i][0]+2):
        areas.append( (points[i][1] )/2.0)
        areas.append( (points[i+1][1] )/2.0)

areas.append( points[-1][1]/2.0 )    

print(areas)
>[5.0, 5.5, 4.0, 3.5, 2.0, 2.0, 4.0, 6.5, 2.5]