Recall that the graph of a function is symmetric with

Chapter , Problem 2

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Recall that the graph of a function is symmetric with respect to the origin if whenever is a point on the graph, is also a point on the graph. The graph of the function is symmetric with respect to the point if, whenever is a point on the graph, is also a point on the graph, as shown in the figure. (a) Sketch the graph of on the interval Write a short paragraph explaining how the symmetry of the graph with respect to the point allows you to conclude that(b) Sketch the graph of on the interval Use the symmetry of the graph with respect to the point to evaluate the integral (c) Sketch the graph of on the interval Use the symmetry of the graph to evaluate the integral (d) Evaluate the integral

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