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.