Trapezoidal Rule

The correct formula for Trapezoidal Rule  of the definite integral  $\int_a^bydx$  , where  $y=f\left(x\right)$   is

•  $\frac{b-a}{n}\left[y_0+y_n+2\left(y_1+y_2+...+y_{n-1}\right)\right]$  

•  $\frac{b-a}{2n}\left[y_0+y_n+y_1+y_2+...+y_{n-1}\right]$  

•  $\frac{b-a}{2n}\left[y_0+y_n+2\left(y_1+y_2+...y_{n-1}\right)\right]$  

•  $\frac{b-a}{n}\left[y_0+y_n+\left(y_1+y_2+...+y_{n-1}\right)\right]$  

The width of the trapezoid of the definite integral   $\int_{0.5}^1e^{x^2}dx$  with with 5 ordinates is 

• 0.1

• 0.3

• 0.125

• 0.375

What is the number of trapeziums if there are 6 ordinates?

• 6

• 7

• 5

• 4

The percentage of error using the trapezoidal rule with 3 strips for  $\int_0^3x\left(3-x\right)dx$  is

• 10%

• 12%

• 9%

• 11%

Approximate the integral using the Trapezoidal Rule

• A) 43

• B) 35

• C) 33

• D) 36.5