6. find the smallest integer a > 2 such that 2a, 3a + 1, 41a + 2,5|a +3,6|a +4

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Find the volume of the solid whose base is the region bounded by f(x), g(x) and the x-axis on the interval [0, 1], and whose cross-sections perpendicular to the y-axis are squares. your work must show the integral, but you may use your calculator to evaluate it. give 3 decimal places for your answe