Line Integrals – Cycloid orbit – Exercise 3510 Post category:Line Integrals Post comments:0 Comments Exercise Calculate the integral ∫cy2dl\int_c y^2 dl∫cy2dl Where c is a>0,x=a(t−sint),y=a(1−cost)a>0, x=a(t-\sin t), y=a(1-\cos t)a>0,x=a(t−sint),y=a(1−cost) And the range of t is 0≤t≤2π0\leq t\leq 2\pi0≤t≤2π Final Answer Show final answer ∫cy2dl=25615a3\int_c y^2 dl=\frac{256}{15}a^3∫cy2dl=15256a3 Solution Coming soon… Share with Friends Read more articles Previous PostLine Integrals – A vector function with a parameter t – Exercise 3513 Next PostLine Integrals – An orbit with absolute value – Exercise 3504 You Might Also Like Line Integrals – Triangular orbit – Exercise 3119 February 23, 2019 Line Integrals – An orbit with absolute value – Exercise 3504 February 23, 2019 Line Integrals – A vector function with a parameter t – Exercise 3513 February 23, 2019 Line Integrals – 3 variable vector function – Exercise 3516 February 23, 2019 Leave a Reply Cancel replyCommentEnter your name or username to comment Enter your email address to comment Enter your website URL (optional) Δ
