It's not plus two times the sum from equals one to end minus one of the image of the internal notes and that is one of the end times times F at which is the first note. The rule D N shows the image of the first note. One of the times I will want to end off and square is when Michael wants to end the images of the notes from those indices. The values of N will be different for the three valleys event. It's equal to one of two things: one over the square of the argument that is in square, or one over the square of M plus I square. One over n times the sum from equal zero is what I fear to in venice juan of F of X survive. The left hand point approximation is L N. We end up with zero, plus one, plus two, plus one, plus one, plus one, plus one, plus one, plus one, plus one, plus one, plus one, plus one, plus one, plus one, plus one, plus one, plus one, minus The end sub intervals of the intervals were equal to the lengths of the intervals and the mid points of the intervals were also equal to the number of 71. The mid points needed for the midpoint rule are from zero to in. Delta X is one over N until the ex foreign equals five. The upper limit of integration is minus a bren and the lower limit is one over N. We don't give details in order to talk about the observations and other things, so we're going to talk about how this four methods are calculated. Does the value match the interim? We will use that to calculate the errors. The anti derivative of one over square is one over X. The interval we are talking about is central from 1 to 2 if one of us is X square. We will talk about what happens to the errors when n is doubled.
The secular value of the integral can be calculated in this case. The left hand point is writing points right beside the rules and made point rule for those who are listening in. We are going to find the approximations for 5, 10, and 20.
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