Thread: Need this problem solved definite integral

Okay so here is what I need...

Compare the values of the definite integral, the exact value via the Fundamental Theorem of Calculus, and approximate values via the Trapezoidal rule and Simpson's rule.. if you could do this whole thing that would be awesome, I have noooo clue what I am doing lol thanks.

Use the Trapezoidal Rule with n=4 to approximate the value of each integral. Then find the exact value and compare the two answers.

S-10 top, 2 bottom (xdx)/(x-1)

Then use Simpson's Rule on the same operation.

Thank you very much, let me know if you can do the whole thing...

Firstly, it's not good to ask us to "do" it for you. We want to help you do it for yourself. There is a lot of material covered here. Are you familiar with definite integration? If so, you are supposed to calculate the real value of the integral so you can compare it against two other methods of approximation. The formulas for Trap. and Simp. rule should be in your textbook. I can walk you through it when I know how much you already know.

Originally Posted by Jameson

Firstly, it's not good to ask us to "do" it for you. We want to help you do it for yourself. There is a lot of material covered here. Are you familiar with definite integration? If so, you are supposed to calculate the real value of the integral so you can compare it against two other methods of approximation. The formulas for Trap. and Simp. rule should be in your textbook. I can walk you through it when I know how much you already know.

Sorry, yeah I have the Simpsons method and Trap method but I am having trouble pretty much setting the problem up if all 3 methods. I am brand new to this, I had a bit of antiderivative experience but that is all

Ok, so first try to find the exact value of the integral. Show me what you did and what your answer is. Then we'll do the trap. rule. You need to know what your a,b and n are for this problem. Now you can calculate the constant term in front of the summed terms. The tricky part now is figuring out how to find your x_1, x_2, etc. Start with the left hand bound, a. Now find . Remember this number. So, x_0 is a, x_1 is a+X (X is that number you found in my last sentence), x_3 = a+2X, etc.