Answer the following with complete solutions

1. Evaluate the following integrals. (a) (sine) (csc' 0 - csc' 0 - tan ' sec ) de (4 pts.) (b) dx (13 +3)2 (4 pts.) 3-1 (c) dx 8 - 12 (5 pts.) 2. Zeratul moves along the horizontal direction with acceleration function (in ft/s?) given by a(t) = cosht + eat. Find the position function of Zeratul if he started from rest at 3 ft to the left of the origin. (5 pts.)