# Approximate Integration (Estimating Error)

1. Oct 8, 2008

### SciGuy26

1. The problem statement, all variables and given/known data
Found the approximation using Trapezoidal and Midpoint Formulas using 8 rectangles.
How do I estimate the error?

2. Relevant equations
$$\int^{1}_{0}$$ cos(x^2)dx

3. The attempt at a solution
Completely confused. I at first tried u-sub but later realized the error was far too great for my integration to be correct. Trig Identity is a no go here either.
I see in the text it wants be to take the derivative twice in order to use a formula to determine the upper bound or lower bound error...Should I differentiate? Ugh..too many questions. Please help