Spherical and Cylindrical Coordinates – On an ellipse – Exercise 4620 Post category:Spherical and Cylindrical Coordinates Post comments:0 Comments Exercise Calculate the integral ∫∫∫T(x2a2+y2b2+z2c2)dxdydz\int\int\int_T (\frac{x^2}{a^2}+\frac{y^2}{b^2}+\frac{z^2}{c^2}) dxdydz∫∫∫T(a2x2+b2y2+c2z2)dxdydz Where T is bounded by the surfaces x2a2+y2b2+z2c2=1\frac{x^2}{a^2}+\frac{y^2}{b^2}+\frac{z^2}{c^2}=1a2x2+b2y2+c2z2=1 Final Answer Show final answer ∫∫∫T(x2a2+y2b2+z2c2)dxdydz=45abcπ\int\int\int_T (\frac{x^2}{a^2}+\frac{y^2}{b^2}+\frac{z^2}{c^2}) dxdydz=\frac{4}{5}abc\pi∫∫∫T(a2x2+b2y2+c2z2)dxdydz=54abcπ Solution Coming soon… Share with Friends Read more articles Previous PostSpherical and Cylindrical Coordinates – Between a sphere and a cone – Exercise 4619 Next PostSpherical and Cylindrical Coordinates – On a cone – Exercise 4617 You Might Also Like Spherical and Cylindrical Coordinates – On a sphere – Exercise 4606 April 15, 2019 Spherical and Cylindrical Coordinates – On a cone – Exercise 4611 April 15, 2019 Spherical and Cylindrical Coordinates – On a sphere – Exercise 4613 April 15, 2019 Spherical and Cylindrical Coordinates – On a cone – Exercise 4617 April 15, 2019 Spherical and Cylindrical Coordinates – Between a sphere and a cone – Exercise 4619 April 15, 2019 Leave a Reply Cancel replyCommentEnter your name or username to comment Enter your email address to comment Enter your website URL (optional) Δ