What is the arc length of the curve given by f ( x ) = 1 + cos &#x2061;<!-- ⁡ -->

Keenan Santos 2022-07-12 Answered
What is the arc length of the curve given by f ( x ) = 1 + cos x in the interval x [ 0 , 2 π ]?
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (1)

Tristin Case
Answered 2022-07-13 Author has 15 answers
Recall that arc length is given by A = a b 1 + ( d y d x ) 2 d x
The derivative of f'(x) is f ( x ) = sin x
A = 0 2 π 1 + ( sin x ) 2 d x
A = 0 2 π 1 + sin 2 x
An approximation using a calculator gives A=7.64
Did you like this example?
Subscribe for all access

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

New questions