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1 solution
Using integration by parts, let u = x and dv = ln(3x^2) dx. The result becomes:
x * [ln(3x^2) - 2].
which the floor function of the above definite integral gives:
floor {23 * [ln(3 23^2) - 2] - 9 * [ln(3 9^2) - 2] } = floor (123.5 - 31.44) = 92.