Mathematics 2122-001
Calculus for Life Sciences II
Fall 2004
Study Guide #2
Instructor: Dr. Alexandra Shlapentokh

1. Suppose an antiderivative of is . What is ?
2. Suppose one antiderivative of is . Describe all the other antiderivatives of .
3. Suppose an antiderivative of is and antiderivative of is then what’s an antiderivative of
(a) ?
(b) ?
4. Suppose antiderivative of is , and is a differentiable function. Then what is the antiderivative of ?
5. What are the antiderivatives of the following functions?
(a)
(b)
(c)
(d)
(e)
(f)
(g)
(h)
(i)
(j)
(k)
(l)
(m)
6. Use the table on page 649 to evaluate the following integral: .
7. Compute the following definite integrals.
(a)
(b)
(c)
(d)
(e) .
8. Suppose . Then what is ?
9. Suppose . What is ?
10. Suppose . What is ?
11. Suppose and . Then what is ?
12. Find the following areas.
(a) The area under and above between and .
(b) The area bounded by .
(c) The area bounded by the curves and .






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