Test 5

MAT 175

Name:

Read each question carefully. Make sure answers are simplified, exact, and

in the correct form, especially to word problems, using complete sentences

and correct units. Good luck!

1. (21) For the function f(x)=x²-x+2,

Chapter 5

a) Evaluate the Riemann sum for f(x) for the interval 1sxs3 with four

subintervals, taking the sample points to be right endpoints.

b) Use the definition of a definite integral (with right endpoints) to calculate

the value of the integral f(x)dx. (This means the use of summations and a

limit)

c) Use the Evaluation Theorem to check your answer to part b). Show your

work.