Math 131 Take Home Quiz 6 Print Name________________________________

Section or Class Time____________

Section 4.8

1. Find the antiderivative, F, of f that meets the given condition. .

2. An object moves in a straight line. The acceleration at time t seconds is

a) The initial position is s(0)=8 and the position at 1 second is s(1)=12.

Find s(t).

b) and the initial velocity is v(0)=6. Find the distance traveled from t=1 to t=4.

3. Evaluate each definite integral. Show all work.

a) Use the Fundamental Theorem of Calculus.

b) Use geometry and symmetry.

4. a) Find

b)

c)

5. Evaluate each definite integral.

c)

d)