Trapezoidal Rule

Trapezozidal rule is NOT the method of finding the exact value of a definite integral.

This statement is

• True

• False

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

Which of the followings statement is FALSE.

• 8 strips , n = 8

• 6 sub interval, n = 6

• 7 ordintes , n = 7

• 10 interval, n = 10

Use the trapezoidal rule with 3 sub interval to estimate
 $\int_0^{\frac{\pi}{4}}\sqrt{1+\sin x}dx$ , correct to 2 decimal places.     

• 0.79

• 0.92

• 0.80

• 0.91