Be informed: To evaluate Type 1 improper integrals on computer algebra systems, we type the appropriate infinity symbol(s) directly integral. Example: type f (x) dx . It is not necessary to type of the limit lim / f(x) dx. rim Let f(x) - 3 + sin(x x2) x2 1, X and let S = (( x, y) , | x 2 1, 0 S y s f (x)). A graph of the region S is shown, in red, on this link: https://www.desmos.com/calculator/smjf2gghdb. The sentences (A)-(D) below have gaps. Match each gap with the correct number, word or expression. (A) The curve { ( x. ) x 2 1 , lies the graph of f. (A) [ above? below? ] (B) The area of the region S is (B) [ finite? infinite? ] (C) The solid of revolution obtained by rotating the region S about the x-axis has volume. (C) [ finite? infinite? ] (D) The solid obtained by rotating the region S about the x-axis has units of volume. (D) [ how many/much? ] (A) Choose