Name: ________________________ Class: ___________________ Date: __________ ID: A
Midterm 2, Phys 30, March 21, 2008
Free Response
Each problem is worth 10 pts
Useful identities:
sin (
x
) + cos (
x
) = 1
2 2
sec (
x
) = tan (
x
) + 1
2 2
1. Evaluate the integral.
p
/ 2
d
sin cos
3 2
0
2. Evaluate the integral.
x
- 1
x
+ 2
x
d
x
2
3. Evaluate the integral.
1 0 0
t
ln
td
t
0
4. Evaluate the integral using the given substituion. Answer must be in terms of x.
x
3 dx ;
x
= 5tan
+ 25
x
2
5. Find the length of arc of the curve x = 0 to x = 8/9
y
= 2
x
- 1
3/ 2
1
