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## Homework Statement

Express the following as a definite integral:

Express the attached limit as an integral.

## The Attempt at a Solution

I have gotten as far as every part of the answer except the upper bound. the answer is:

10

∫(from 1 to 10) [x-4lnx]dx

1

since the definition of the definite integral is:

a

∫f(x)dx = lim Ʃ Δxif(x)

b________Δ→∞ i=1

i set Δxi = 9/n since that approaches zero. f(x) would be left to 1+9i/n - 4ln(1+9i/n)

so i set x = 1+9i/n.

since n approaches ∞ and the upper bound of the sum is ∞, i plugged ∞ in for i and n.

thats where I have trouble. ∞/∞ is undefined. when i plug 1 in i end up with 1 so that is the lower bound.