Consider the function f(x)=∫x2x3ln(t)dtf(x) = \int_{x^2}^{x^3} \ln(t) dtf(x)=∫x2x3ln(t)dt. What is the derivative f′(x)f'(x)f′(x) at x=2x = 2x=2?
12\ln(2) + 4\ln(2)
3x^2\ln(x^3) - 2x\ln(x^2)
12\ln(8) - 4\ln(4)
9\ln(2) - 2\ln(2)