Basically, I wrote my program and included both integration methods needed but I cannot find out how the writing the function for the bisection method in order to find the rotts will help me in finding the endpoint that i need in the integral.

Amer, a former teaching assistant for COMP 208 has kindly generated the following polynomial fitting equation for the equilibrium data for your use: 8.38 -31.976.x+39.911.x2 -13.542.x3 Part 1 (20 marks) In the first part of this assignment, you are to use a numerical integration algorithm to approximate the natural logarithm, In(-) which should equal dL for L1 = 1 moles and ,-Px (P ranges from 0.99 to 0.50). In order to test the accuracy of your code, you can compare it using the function log(number), which can be found in . You have to use one of the numerical integration methods you learned in class (midpoint, trapezoidal, etc) Part 2 (80 marks) In the second part of this assignment, you are to find x for x2 0.005, Li1 moles and L,-P x L (P ranges from 0.99 to 0.50). If you were not able to solve part 1 of the assignment, you can use the function log(number) from to complete this part of the assignment. In order to find x, a root finding algorithm (bisection, secant, etc) should be used, where the function passed is- (mentioned above) and the integration of this function is used to mentioned above) and the integration of this function to determine the value of xi. You must use a different integration method from part 1. The output of your program should look like the following: 2 = 0.990000 %L1 In(L2/L1)--0.010050 x1 = 0.006231 L2 = 0.980000 %L1 In(L2/L1)--0.020203 x1 = 0.007470 Amer, a former teaching assistant for COMP 208 has kindly generated the following polynomial fitting equation for the equilibrium data for your use: 8.38 -31.976.x+39.911.x2 -13.542.x3 Part 1 (20 marks) In the first part of this assignment, you are to use a numerical integration algorithm to approximate the natural logarithm, In(-) which should equal dL for L1 = 1 moles and ,-Px (P ranges from 0.99 to 0.50). In order to test the accuracy of your code, you can compare it using the function log(number), which can be found in . You have to use one of the numerical integration methods you learned in class (midpoint, trapezoidal, etc) Part 2 (80 marks) In the second part of this assignment, you are to find x for x2 0.005, Li1 moles and L,-P x L (P ranges from 0.99 to 0.50). If you were not able to solve part 1 of the assignment, you can use the function log(number) from to complete this part of the assignment. In order to find x, a root finding algorithm (bisection, secant, etc) should be used, where the function passed is- (mentioned above) and the integration of this function is used to mentioned above) and the integration of this function to determine the value of xi. You must use a different integration method from part 1. The output of your program should look like the following: 2 = 0.990000 %L1 In(L2/L1)--0.010050 x1 = 0.006231 L2 = 0.980000 %L1 In(L2/L1)--0.020203 x1 = 0.007470