MATH 101 Quiz #2 (v.M1)
Last Name:
Friday, January 29
First Name:
Grade:
Student-No:
Section:
Very short answer question
1. 1 mark Evaluate
Z
2
x3 + sin x) dx. Simplify as far as possible.
0
Answer:
Short answer questions—you must show your work
2. 2 marks Evaluate
Z
(x2 4)x
p
dx.
4 x2
3. 2 marks Find the area to the left of the y–axis and to the right of the curve x = y 2 + y. A
“calculator-ready” answer is acceptable.
Long answer question—you must show your work
4. 5 marks Consider the function F (x) =
0
(a) Find F (x).
Z
x2
t2
e dt +
0
Z
0
4
et dt.
x
(b) Find the value of x for which F (x) takes its minimum value.