Given that X can various values [1, 2, 2.5, 3, 3.25, 3.5, 3.75] and Y(x) has respective values [19.4, 11.2, 21.4, 19.8, 23.6, 24.4, 16.9]. Find the value of Integration of Y such as y(1) to y(2) will be calculated using trapazoidal rule, y(2) to y(3.25) will be calculated as Simpson's (1/3) rule and y(3.25) to y(3.75) will be calculated as Simpson's (3/8) rule.

Given that X can various values [1, 2, 2.5, 3, 3.25, 3.5, 3.75] and Y(x) has respective values [11.3, 24.6, 22.8, 18.6, 20.8, 9.9, 15.9]. Find the value of Integration of Y such as y(1) to y(2) will be calculated using trapazoidal rule, y(2) to y(3.25) will be calculated as Simpson's (1/3) rule and y(3.25) to y(3.75) will be calculated as Simpson's (3/8) rule.