- #1

sugarxsweet

- 12

- 0

## Homework Statement

I am having issues figuring out the error involved in the trapezoidal and midpoint methods for ∫cos(x^2) from 0 to 1 with n=8

## Homework Equations

|Et|<= k(b-a)^3/(12n^2)

|Em|<=k(b-a)^3/(24n^2)

## The Attempt at a Solution

f(x)=cos(x^2)

f'(x)=-2xsin(x^2)

f''(x)=-4x^2cos(x^2)

f''(1) = -3.844

Is it right given that f''(1) is negative? Just wanted to make sure! Thanks