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:
∫(from 1 to 10) [x-4lnx]dx
since the definition of the definite integral is:
∫f(x)dx = lim Ʃ Δxif(x)
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.