Moderator's note: This thread is a perfect example of what not to do in the homework help forums. It is unacceptable for the opening poster not to work through the problem and to demand answers. It is inappropriate for the helper to give out those answers, or tell the poster exactly what to do. If it were not already too late, I would have closed/deleted this thread. Since it is too late, I'm leaving it up with this warning that it's an example of what not to do. 1. The problem statement, all variables and given/known data How do you calculate an error using left and right approx? How do you find the exact answer to that integral? Here's the homework question. How many subdivisions would you need to use so that the error in the left and right approximations of the function f(x)=x^3 from x=0 to 10 was 0. 01? So, I know how to calculate the area of right and left but how do I find the real answers first? And how do i make the error equal to 0.01? Thanks. Calculus is hard so please help. 2. Relevant equations f(x)=x^3 from x=0 to 10 3. The attempt at a solution here is the calculation of my left and right approximation using 10 subdivisions. L10= f(0)+f(1)+f(2)+f(3)+f(4)+f(5)+f(6)+f(7)+f(8)+f(9) = 0+ .25+ 4+20.25+ 64+156.25+324+600.25+1042+1640.3 =3851.3 R10= f(1)+f(2)+f(3)+f(4)+f(5)+f(6)+f(7)+f(8)+f(9)+f(10) .25+ 4+20.25+ 64+156.25+324+600.25+1042+1640.3+ 2500 =6351.3 if you get the average of the two you have 3400.87 so, Now what?