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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) [x4lnx]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.
Homework Statement
Homework Equations
The Attempt at a Solution
Attachments

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