ITLR - Does it Really Work Discussion Part 1 1. If f(0) = g(0) = 0 and f " and g" are continuous, show that o f(x)g"(x)dx= f(a)g'(a) '\(a)g(a) + "(x)g(x)dx. 2. Suppose that f(1) = 2, f(4) = 7, f '(1) = 5, f '(4) = 3, and f" is continuous. Find the value of xf(x)dx making certain to provide justification. Part 2 Find the volume of the solid generated when the region under the curve y = 1/(x + 3x + 2) from x = 0 to x = 1 is revolved about the given axis. Make certain to include sketches and justifications for each solid. 3. x-axis 4. y-axis After uploading your responses to the Discussions widget, please respond to at least two (2) classmates' posts.