Line Integrals – 3 variable vector function – Exercise 3516 Post category:Line Integrals Post comments:0 Comments Exercise Calculate the integral ∫c(2z−x2+y2)dl\int_c (2z-\sqrt{x^2+y^2}) dl∫c(2z−x2+y2)dl Where c is r(t)=tcosti+tsintj+tkr(t)=t\cos t i+t\sin t j +t kr(t)=tcosti+tsintj+tk and the range of t is 0≤t≤2π0\leq t\leq 2\pi0≤t≤2π Final Answer Show final answer ∫c(2z−x2+y2)dl=83[(1+2π2)3−1]\int_c (2z-\sqrt{x^2+y^2}) dl=\frac{\sqrt{8}}{3}[\sqrt{{(1+2{\pi}^2)}^3}-1]∫c(2z−x2+y2)dl=38[(1+2π2)3−1] Solution Coming soon… Share with Friends Read more articles Next PostLine Integrals – A vector function with a parameter t – Exercise 3513 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 – A vector function with a parameter t – Exercise 3513 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
