Skip to content
free
K
1
2
practice
Home
Math
English
Science
Social Studies
Contact
Language
English
Español
Sign In
/
Math
/
Calculus I
/
Arc Length of a Smooth Curve
Grade Level
Calculus I
CAL1.134 Arc Length of a Smooth Curve
0%
Skill Level
🔴 Hard
00:00
Progress to Next Level
25% to Medium
Easy
Medium
Hard
Mastery
100%
A curve x = g(y) has g'(y) = cot y on pi/4 <= y <= pi/2. Which option gives the correct setup and method?
A
L = int_(pi/4)^(pi/2) sqrt(1 + cot
2
y) dy; evaluate exactly as int csc y dy.
B
L = int_(pi/4)^(pi/2) sqrt(1 + csc
2
y) dy; use numerical integration.
C
L = int_(pi/4)^(pi/2) cot y dy; evaluate exactly.
D
L = int_(pi/4)^(pi/2) sqrt(1 + tan
2
y) dy; evaluate exactly as int sec y dy.
Submit Answer
