Region is bounded by ,

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Region PP is bounded by y=xy=x, y=0y=0, and x=2x=2. Which integral represents the volume of the solid formed when PP is revolved about the vertical line x=5x=5? (a) π∫02(5−y)2 dy\displaystyle \pi\int_{0}^{2}(5-y)^{2}\,dy (b) π∫02(25−(5−y)2) dy\displaystyle \pi\int_{0}^{2}\bigl(25-(5-y)^{2}\bigr)\,dy (c) π∫02((5−y)2−9) dy\displaystyle \pi\int_{0}^{2}\bigl((5-y)^{2}-9\bigr)\,dy (d) π∫02(5−x)x dx\displaystyle \pi\int_{0}^{2}(5-x)x\,dx

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