MATH 152 Activity 7 (Section 8.4-8.9)
Directions: Put both your name and your partners name on the answersheet. Use scratch paper for work, meaning only
put the answers on the answer sheet. Turn in only ONE answer sheet per pair. Calculators are allowed and you may
use your notes and textbook. Failure to follow these instructions will result in a 1 point deduction. Neat handwriting is
expected.
Z
5x − 3
dx
1. Find
x2 − 2x − 3
Z
4−x
dx
2. Find
(x − 2)(x − 1)2
Z
x+1
3. Find
dx
(x − 1)(x2 + 1)
Z ∞
4. Does
e−2x dx converge or diverge? If it converges, evaluate the integral. If it diverges, just put ’diverges’.
5
5. Does
Z
1
4
1
dx converge or diverge? If it converges, evaluate the integral. If it diverges, just put ’diverges’.
x−3
6. If you use the Comparison Theorem to establish the convergence/divergence of
√
Z ∞p
1+ x
√
dx, what is the comparison integral and what is the conclusion?
x
1
1