A.
1. x + C
2. (2/3) * (tan (x))^(3/2) + C
B.
The graph is a parabola opening downward, with vertex at (0, 4). The area by integration is 5/3 sq. units.
C.
1. 10/3
2. (8/27)(4sqrt(10) - 5)
D.
Same with the procedure above, except the final answer should be x sin (x) + cos (x) - 1
E.
Same with the procedure above