MTH 251 Study Guide - Midterm Guide: Limit Comparison Test, Geometric Progression, Monotonic Function
Document Summary
Section 11. 6: absolute convergence and ratio and root tests. The area under the curve can be estimated using right and left midpoints. The area under the curve can also be estimated using midpoints, The are under the curve can also be estimated using the trapezoid rule, which is just the average of the left and right sums added together, The final way we will look at to approximate integrals is called simpson"s rule, even. As before, we divide [,] into n-subintervals of equal length = , but we insist that n is. If y=f(() then the point (,) lies directly above x on the curve y=f(x) A typical parabola passes through three points, ,+1,+2. To simplify our calculations, we first consider the points 0( ,0),1(0,) and2( ,2). Any parabola has form y=2 + + , so the area under the parabola from x=-h to x=h is,
