MATH 152 Activity 2 (6.4, 6.5) Part 1
Directions: Put your group name, section number and members present on one answer sheet. Use
scratch paper for work, meaning only put the answers on the answer sheet. Turn in only ONE answer
sheet per group. No calculators allowed, however you may use your notes and textbook. Failure to
follow these instructions will result in a 1 point deduction. Neat handwriting is expected.
1. The acceleration (in m/s2 ) of a particle is given by a(t) = 12 − 12t2 . If the velocity after 3
seconds is 1 m/s and the position after 3 seconds is 2 m, what is the position function s(t)?
.
Answer:
ˆ 2. Compute
1
− 2 + ez
z
dz
.
Answer:
ˆ
x2
sin4 t dt.
3. Find the derivative of F (x) =
2
.
Answer:
ˆ
4. Compute
1
2
x2 − 1
dx.
x
.
Answer:
ˆ
5. Compute
1
.
√
3
6
dx.
1 + x2
Answer:
1
ˆ
(2x + sec x tan x) dx.
6. Evaluate
.
Answer:
ˆ
2
xe−x dx
7. Evaluate
.
Answer:
ˆ
1/4
cos(2πt) dt.
8. Compute
0
.
Answer:
ˆ
π/3
9. Compute
0
cos x
dx.
sin x
.
Answer:
ˆ
2
(x + 1)
10. Compute
p
4 − x2 dx.
−2
.
Answer:
2