Line Integrals – A vector function with a parameter t – Exercise 3513 Post category:Line Integrals Post comments:0 Comments Exercise Calculate the integral ∫c(x2+y2+z2)dl\int_c (x^2+y^2+z^2) dl∫c(x2+y2+z2)dl Where c is r(t)=2costi+2sintj+tkr(t)=2\cos t i+2\sin t j +t kr(t)=2costi+2sintj+tk And the range of t is 0≤t≤2π0\leq t\leq 2\pi0≤t≤2π Final Answer Show final answer ∫c(x2+y2+z2)dl=5(8π+83π3)\int_c (x^2+y^2+z^2) dl=\sqrt{5}(8\pi+\frac{8}{3}{\pi}^3)∫c(x2+y2+z2)dl=5(8π+38π3) Solution Coming soon… Share with Friends Read more articles Previous PostLine Integrals – 3 variable vector function – Exercise 3516 Next PostLine Integrals – Cycloid orbit – Exercise 3510 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 – Cycloid orbit – Exercise 3510 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
