Estimate �ç4 1 ln(x)−3dx using 6 midpoint rectangles

To estimate the integral ∫[a,b] f(x) dx using midpoint rectangles, you need to divide the interval [a,b] into n equal subintervals and evaluate the function at the midpoint of each subinterval. Then, multiply each function value by the width of the subinterval and sum up all the products.

In this case, you are given the function f(x) = 4 + ln(x) - 3 and you want to estimate the integral using 6 midpoint rectangles. So, you need to divide the interval [a,b] into 6 equal subintervals.

First, let's find the interval [a,b]. Unfortunately, you haven't provided the values of a and b. Can you please provide the limits of integration?