Speed Profile - Numerical Integration

[Hurly]

Homework Statement

I need to find total distance traveled for an object using the speed profile

which is the absolute value of velocity before integrating. so we finish up with the total distance travelled, rather than the final displacement from the initial position.

And this is the function i need to numerically integrate using the The Trapezium Rule.
Needed Values:

The h Value-
The N Value-
The Total Area-

I Have Data Sets Which is Shown In The Picture Below

http://imageshack.us/f/69/numericalintegration.png/

NOTE:
Calculate the total area under the curve for a data set, starting with an h value of 0.1 and then continuing with h = 0.01, 0.001, etc. until the latest two calculations are within 0.0005of each other, or h becomes 0.00001.

Could Someone Use One of The Data Sets to Show Hows it Done Then i'll Do The Rest of Them

Homework Equations

Velocity Profile V(x) = x²+ b. x¹+c x⁰+ d.x^-1

defined by the 3 coefficients for the powers of x¹, x⁰, and x^-1:
Remember that
x¹ = x
x⁰ = 1
x^-1 = $\frac{1}{x}$

So, the most interesting thing about this velocity profile is that it is undefined when x equals 0.

Speed Profile Sp(x) = |x²+ b. x¹+c x⁰+ d.x^-1|

Area_i = h [itex]\frac{F(x_i)+F(x_i+1)}{2}[/itex]

with X_i+1 = x₁+h

N = [itex]\frac{(x_final-x_initial)}{h}[/itex]

Total Area = Sum of the Area_i values from 0 to N-1

The Attempt at a Solution

|x²+ b. x¹+c x⁰+ d.x^-1|
|x²+ 1. x¹+4 x⁰+ -6.x^-1|

 

[Hurly]

Please Help =(

 

[Hurly]

Can Anyone Help me or Point me in the right direction>?