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x + 4, -45x5-1 Use geometry to evaluate f(x)dx where f(x) = -x+2, -1 0. Find the value of b so that the area of the region R is 288 square units.The base of a solid is bounded by the curve y=Jx+2 , the x-axls and the line x = 1. The cross sections, taken perpendicular to the x-axis, are squares. Find the volume of the solid. The function f is continuous on the interval [4, 15], with some of its values given in the table above. Estimate the average value of the function with a Left Rectangle Approximation, using the 4 intervals between those given points. (5 points) X 4 9 11 14 15 f(x) -6 1 -18 -21 -25