Question

# Find an expression for the left Riemann sum LsubN of the function f(x) = 3/(2x-1) on the interval [2,5]

n Ln lim f xi x

n k 1 5 2 3 lim n 3 3i n i 1 2 2 n n 1 n 3 n 3 lim n n

6 6i i 1 4 1 n n 3 n 3 lim n n

6 6i

i 1 3 n n 3 n 1 lim n n

2 2i i 1 1 n n n

3 lim n i 1 n 2 2i 3

3 3i xi 2 i 1 n 2 n n

Math