Answered>Order 3777

Please go step by step. The answer to the questions are down below. Please if you can give a small explanation for what your doing in each step.

1) Let f(x) = x^3, compute the Riemann sum of f over the interval [0,2] using

a) five subintervals and the left endpoint of each subinterval as the representative point

b) five subintervals and with the midpoint of each subinterval as the representative point

c) n subintervals, where nà ?, and with the right endpoint as the representative point

2) Find the area enclosed by the graphs of f (x) = ?x and g (x) = x^2

3)

1

? ((3?t)-2) dt

-1

Answers

1 a)2.56

b) 3.92

c)4

2) 1/3 sq. units

3) -4