Fortran Numerical Methods questions

[Khan12345678]

Hi guys, I was wondering if anyone could help me out on this question, been trying but can't get anywhere.

Thanks

Write a program that:
A) Performs numerical integration using the Extended Trapezoid Rule
B) Performs numerical integration using the Extended Simpson’s Rule (see Appendix)
Carry out all tasks within a single program, implementing each different integration method
as a subroutine and the equation to be integrated as a function.
Use your program to evaluate the following integral with both methods:

I=x^5+2x^4+9.3x^3+x^2+x-0.4

for the following bounds:
i) a=0,b=1
ii) a=-1,b=0
Test your program with the analytical solution for I
1.
Test the results of your program with both methods for different numbers of intervals.

 

[mikrom]

These threads could help you:

http://www.tek-tips.com/viewthread.cfm?qid=1570169

http://www.tek-tips.com/viewthread.cfm?qid=1574098

 

[Khan12345678]

Thanks for that, but i was wondering what does s = s + f(a + (b-a)*k/n) mean? like what is s?
And also this calculates it for 1 value, i want atleast 10

 

[mikrom]

Look at the formula of Trapezoid rule:

http://en.wikipedia.org/wiki/Trapezoid_rule