Mathematical equations with imported excel coordinates

Question

I have like 10 or more x and y coordinates, and also an equation for them. And I can't figure out how make those calculations - especially a part with the equations. First of all, let's say there are 5 coordinates:

and I need to apply this equation:

The first one is the main, and those two others are for control check. How could I make it so it would read those coordinates and calculate according to equation? I tried:

book = openpyxl.load_workbook('coordinates.xlsx')
sheet = book.active
for row_i in range(1, sheet.max_row + 1):
x_value = sheet.cell(row=row_i, column=1).value
y_value = sheet.cell(row=row_i, column=2).value
print(x_value,y_value)

I am stuck at making calculations and managing the whole process after inputing values. Moreover, it needs to accept as many coordinates as there are and it counts the area plot.

Answer 1

The top equation seems to suggest that you would do:

two_p = 0
for row_i in range(1, sheet.max_row - 1):
    x_i = float(sheet.cell(row=row_i, column=1).value)
    y_plus1 = float(sheet.cell(row=row_i+1, column=2).value)
    y_minus1 = float(sheet.cell(row=row_i-1, column=2).value)
    two_p += x_i*(y_plus1 - y_minus1)
print(two_p)

Is this what you had in mind? You would do something similar for the control equations.

EDIT: Added float conversion in the formulas above in case the data coming from excel is wrongly formatted.