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Chpter 5 summary. Fundamental theorems of Calculus. Integration rules to manipulate: Etc. Calculator! Math 9, store. U-substitution for difficult integration. Right corner, Left corner, midpoint, inscribed rectangles. approximate with: Riemann sum, trapezoidal method. 1.
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Integration rules to manipulate: Etc. Calculator! Math 9, store U-substitution for difficult integration Right corner, Left corner, midpoint, inscribed rectangles approximate with: Riemann sum, trapezoidal method 1. *used to find area back to an axisswitch “negative area” at break point….same for 2. 3.
Derivative of u because of chain rule DERIVATIVE!!! max, min, inc,dec,con up,’ con dwn, inflection, non-differentiable points, instantaneous rate of change, slope of tangent, v(t),a(t) etc…..
General Goods Average rate of change vs. Average Value *labels tell which to use Definite integralvs. Indefinite Integral Antiderivative with initial value to find “C” Used to find “C”
Distance traveled vs. Change in position (Displacement) *Distance can’t be negative! *Position change from start time to stop time….can = 0 if start and end in same place!