[spec] length of a curve

diff --git a/spec/calculus.md b/spec/calculus.md
index 63b2e900ebde188826de105722e00c63fc390023..9d9ed36d9d26ef611b9fc4f9d8598ab528949ff8 100644 (file)
--- a/spec/calculus.md
+++ b/spec/calculus.md
@@ -345,6 +345,16 @@ Approximate as sum of infinitesimally-thick cylinders
 $$V = \pi \int^b_a f(x)^2 - g(x)^2 \> dx$$  
 where $f(x) > g(x)$
 
 $$V = \pi \int^b_a f(x)^2 - g(x)^2 \> dx$$  
 where $f(x) > g(x)$
 

+## Length of a curve
+
+$$L = \int^b_a \sqrt{1 + ({dy \over dx})^2} \> dx$$
+
+Evaluate on CAS. Or use Interactive $\rightarrow$ Calculation $\rightarrow$ Line $\rightarrow$ `arcLen`.
+
+### Parametric curve
+
+$$l = \int^b_a \sqrt{({dx \over dt})^2 + ({dy \over dt})^2} \> dt$$
+

 ## Rates
 
 ### Related rates
 ## Rates
 
 ### Related rates