Homework SourseConsider the following table x 0 3 6 9 12 15 fx 35 34 32 28
Consider the following table:
x 0 3 6 9 12 15
f(x) 35 34 32 28 19 1
Use this to estimate the integral:
integral 0-->15f(x)dx =(approximately) ___________?
x 0 3 6 9 12 15
f(x) 35 34 32 28 19 1
Use this to estimate the integral:
integral 0-->15f(x)dx =(approximately) ___________?
Solution
Using Trapizoidal rule the points are equally spaced integral = (15-0)/(2*5) * {35+1+2*(34+32+28+19)} = 3*(131) = 393 trapizoidal rule integral = (b-a)/2N * (f(first term)+f(last term) + 2*(remaining terms ))
