Use part I of the Fundamental Theorem of Calculus to find the derivative of

g(x)= integrate from 9x to 4x of ((u+4)/(u-1))du

1 answer

since (u+4)/(u-1) = 1 + 5/(u-1)
integral = u + 5log u [9x,4x]

-5(x - log(4x-1) + log(9x-1))