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Volumes with cross sections: squares and rectangles (intro)


Let f(x)=5x and g(x)=2sin(πx6). Let R be the region enclosed by the graphs of f and g and the y-axis.
Region R is the base of a solid. For each x-value, the cross section of the solid taken perpendicular to the x-axis is a rectangle whose base lies in R and whose height is 2x.
Which one of the definite integrals gives the volume of the solid?
Choose 1 answer: