Remember to: . Number each question. . Show all work. 1) Evaluate: J dx xinx 2) Evaluate: Sxe adx 3) Evaluate: fe sin xdx 4) Evaluate: So2 x2 sin(2x ) dacRemember to: . Number each question. . Show all work. 1) Integrate by partial fractions. f 5$+10 (x 2)($+3)d 2) Integrate by partial fractions. 3223: Let R be the region to the right of a: = 1 between the x-axis and the graph of y = i and let S be the region to the $2 right of as = 1 between the horizontal line y = 1 & the graph of 52' (a) Write an improper integral that gives the area of the region R and nd the value (if any) to which it converges. (b) Write an improper integral that gives the area of the region S and nd the value (if any) to which it converges