Estimating with Finite Sums

p {margin: 0; padding: 0;} No. Date Estimating with Finite Sums We will be learning how to find the exact area under A curve if we have the equation for the curve Rectangular approximation methods are still useful for finding the area under a curve if we do not have the equation 3 V=1 8 124 When we find the area 2 under a curve by adding rectangles. 1 the answer is called a Rieman Sum 0 1 2 3 a The width of a rectangle Subinterval is called a sub interval partition The entire interval is (suhintervals do not all have to be the same site) called the partition If the partition is denoted by P. then the leght of the longest subinterval is called the norm of P and is denoted by 11 pll . As 11/1/11 gets smaller the approximation for the area gets better n Area = lim f (ck) Dx, if P is a partition 11ell 0 kill of the interval [a.b]