Applying the Trapezoidal Rule for f(t)=t^2 with deltaT=0.5

[juice34]

Homework Statement

f(t)=t^2 and $$\Delta$$t=.5, where 0<=t<=2 what is the closest? 4, 2.75, 2.67, or 1.33

Homework Equations

deltaT=(a-b)/n

and the formula for the trapezoidal rule when n>1

The Attempt at a Solution

I get n=4 therefore the final answer I get a total area under the function is 5. Does that make sense.

 

[juice34]

The final answer is wholly dependent on the number of trapezoids chosen, and in this case is 4.

 

[juice34]

Actually I just got it, 2.75 is the answer and if anyone is wondering this is a FE exam question.