# What is the arc length of the curve given by #f(x)=1+cosx# in the interval #x in [0,2pi]#?

##### 1 Answer

Apr 13, 2018

The arc length is most nearly

#### Explanation:

Recall that arc length is given by

The derivative of

#A = int_0^(2pi) sqrt(1 + (-sinx)^2)dx#

#A = int_0^(2pi) sqrt(1 + sin^2x)#

An approximation using a calculator gives

Hopefully this helps!