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Question: find the area enclosed by the line y x...

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-15 -10 -15 Video Example EXAMPLE 6 Find the area enclosed by the line y x 4 and the parabola y2 2x+ 40 SOLUTION By solving the two equations we find that the points of intersection are -6 and 8 We solve the equation of the parabola for x and notice from the figure that the left and right boundary curves are x 20 and X y 4. We must integrate between the appropriate y-values, y 6 and y 8. Thus (xR y 4 dy 32 192 18 144

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