For example use 4 divisions.Originally Posted by norivea
Then,
Thus, (by trapezoid rule),
You can do the calculations.
I really need some help answering the following question. There is an example of how it should be completed but I don't understand it. The example has a diagram and advises the use of either Trapezium rule or Simpson's rule.
Question: Use a numerical method to find the area enclosed by the graph of y = x² sin x, the x axis and the lines x = 1 and x = 2.
Use an interval of 0.4
Thank you for your help!
So just for further clarification, I have attached my answer to this post. The area is 4.5248 with n=10 by Trapezium Rule. When you increase the n, or decrease the interval h, the area will be approaching to the real value.
When n=100, the area is 4.5360
When n=1000, the area is 4.5361
Is this correct?