MATH 101 Study Guide - Final Guide: Trigonometric Substitution, International System Of Units, Partial Fraction Decomposition
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Math 101: 5. 1: areas and distances, lecture 1 5th january, 2015. Last term in math 100: all about tangent lines to curves derivatives (useful: rate of change, optimization) This term 101: all about area integral (useful: compute work for forces, solve differential equations) Areas are easy to calculate and compute for shapes with straight sides. However, it is a slightly different process to calculate areas under graphs. 3 ways to find definite integrals: find limits of riemann sums, areas (don"t forget negative when f(x) is less than equal to 0, find derivative using the fundamental theorem of calculus. X2dx: approximate using midpoints on 3 subintervals. Sketch the graph of which is a quarter circle with radius 4. Area of the figure = 0. 25(9 . Math 101: 5. 2: lecture 2 7th january, 2015. An antiderivative of the function f is a function f such that f"(x) = f(x)