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The graph of 90:] consists of two straight lines and a semicircle. Use it to evaluate the integral. 1' 4 f g(x) o'x I} Step1

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The graph of 90:] consists of two straight lines and a semicircle. Use it to evaluate the integral. 1' 4 f g(x) o'x I} Step1 b If gtx) is positive, then the integral I my] dx corresponds to the area beneath g[x) and above the x-axis 5 over the interval [af 1:]. 4 Dn [IIIr 4]J the function gfx] is above the xaxis and is therefore positive. Thus, I gfx] 01x equals the area of o the triangle created by the function, the xaxis, and the yaxis. This triangle is a right triangle with a side length of I .p along the xaxis and a side length of I .p along the yaxis. (Give the numeric values.) Since the area of a triangle with base .b and height h is A = |:| J then our triangle has an J" 4 ofx .mus. mm. =- e

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