(1) Evaluate the following integrals.
(a)

(b)

(c)

(d)

(2) A object moving on a straight line has a (nonconstant) acceleration of  6t  feet per second per second at time t. It travels a distance of 33 feet between times t = 0 and t = 3.  Find the object's velocity function v(t).

(3)

(4) Find the average value of the function on the interval [0, ln(2)].

(5)

(6)  The graph of a function f(x) has slope   at each point (x, f(x)).
Also, the graph of  f(x) passes through the point (1, 5).  Find the function f(x).

(7)  The expression      represents a definite integral over the interval [3, 5].   Write the definite integral. (You do not need to find its value.)