Trapezoidal numerical integration using for loops

Hi there,

I'm trying to create a for loop that calcuates the trapezoidal rule for a arrray of x and fx values without using the trapz function at different x points.

e.g.

x = 0, 0.25, 0.5, 0.75, 1

y = 0, 0.03, 0.006, 0.001, 0.06

Can someone please provide some guidance

Answer 1

[James Tursa]

See the Trapezoidal Method section here for the fomula:

https://www.mathworks.com/help/matlab/ref/trapz.html?searchHighlight=trapz&s_tid=srchtitle_trapz_1

or here:

https://en.wikipedia.org/wiki/Trapezoidal_rule

Just write a for-loop to calculate the sum shown.