Wednesday, April 20, 2016MAT 145. Wednesday, April 20, 2016MAT 145.

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Wednesday, April 20, 2016MAT 145

Wednesday, April 20, 2016MAT 145

Wednesday, April 20, 2016MAT 145

Wednesday, April 20, 2016MAT 145 Riemann Sum Applet

Wednesday, April 20, 2016MAT 145 The first three methods build RECTANGLES on each subinterval and the fourth builds TRAPEZOIDS on each subinterval. In all cases, the lowercase letter k indicates the number of subintervals.

Wednesday, April 20, 2016MAT 145 Here is the velocity graph of a braking car. How far did the car travel during this 6-second brake application?

Wednesday, April 20, 2016MAT 145 Let g(x) = sin(x). Show a calculator graph of g(x) using window dimensions of [-1,4] on x and [-1.25,1.25] on y. Now calculate. Label your antiderivative G(x). Next, evaluate your antiderivative, G(x), when x = π and when x = π / 2. Finally, calculate G(π) – G( π / 2 ).

Wednesday, April 20, 2016MAT 145 This is called a definite integral. It includes lower bounds and upper bounds that represent boundary values of an x-axis interval. upper limit of integration lower limit of integration integrand differential

Wednesday, April 20, 2016MAT 145 Use the graph of y = f(x) shown here to express the value of each integral in terms of accumulated area.

MAT 145Wednesday, April 20, 2016

MAT 145

Wednesday, April 20, 2016MAT 145

Wednesday, April 20, 2016MAT 145

Wednesday, April 20, 2016MAT 145

Wednesday, April 20, 2016

MAT 145Wednesday, April 20, 2016

MAT 145

Wednesday, April 20, 2016MAT 145