Question: Evaluate where 0 < a < b, using the definition of the definite integral and the following steps. a. Assume {x 0 , x 1

Evaluate dx .2' where 0

a. Assume {x0, x1, · · · ·, xn} is a partition of [a, b] with Axg = xg – X–1, for k = 1, 2, . .. , n. Show that 

dx .2' Axg = xg X1, for k = 1, 2, .

b. Show that .. , n.

c. Simplify the general Riemann sum forusing

d. Conclude that 

dx .2' Axg = xg X1, for k = 1, 2, . .. , n.

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a Note that for all values of k 1 2 n we have and thusx k1 x k1 x k Simila... View full answer

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