Evaluate double integral (x+y) dxdy over the positive quadrant of the ellipse x^2bya^2 + y^2byb^2=1

Evaluate double integral xy dx dy over the positive quadrant of the circle x^2+y^2=a^2:    • Evaluate  double integral xy dx dy  over t...   #tripleintegrals|| integral 0 to log2 integral 0 to x integral 0 to {x+y} e^{x+y+2} dx dy dz    • #tripleintegrals|| integral 0 to log2 inte...   #tripleintegrals integral 0 to 1 integral 0 to 1-x} integral 0 to {x+y} e^{x}dx dy dz    • #tripleintegrals integral 0 to 1 integral ...   Change the order of integration integral 0 to a integral a-\sqrt{a^2-y^2} to a+\sqrt{a^2-y^2} dy dx    • Change the order of integration integral 0...   Change the order of integration & evaluate integral 0to a integral y to a x by\sqrt{x^2+y^2} dx dy    • Change the order of integration & evaluate...   #integrals || Change the order of integration \integral 0 toa integral x^2/a to 2a-x xy dydx    • #integrals || Change the order of integrat...   Change the order of integration integral 0 to infinity integral x to infinity e^-y by y dy dx    • Change the order of integration integral 0...   Change the order of integration & evaluate integral 0to a integral y to a x by\sqrt{x^2+y^2} dx dy #integrals, #multipleintegrals, #applicationofintegrals || Change the order of integration \integral 0 to1 integral x^2 to 2-x xy dydx    • #integrals || Change the order of integrat...   In the following link I have explained hydro static force of one end of a cylindrical drum by an example.    • #Applicationofintegrals || hydro static  f...   Change the order of integration integral 0 to infinity integral x to infinity e^-y by y dy dx #Integrals || Evaluate integral of (2x+5) by \sqrt{x^2-2x+10} dx    • #Integrals || Evaluate integral of (2x+5) ...   Evaluate integral of (3x-2) by \sqrt{4x^2-4x-5} dx    • #Integrals || Evaluate integral of (3x-2) ...   The area between parabola and a straight line is explained in the following link    • #MA3151 Par_B_Nov_Dec_2022  Evaluate doubl...   Evaluate integral of (2x+5) by \sqrt{x^2-2x+10} dx    • #Integrals || Evaluate integral of x by \s...   In the following link i have explained the application of derivative by an example:    • #MA3151 || Find the local maximum and mini...   Evaluate integral of e^{ax}\sin{bx}:m    • #Integrationbyparts || Evaluate  integral ...   Evaluate integral of e^{ax}\cos{bx}    • #Intgrationbyparts || Evaluate  integral o...   Evaluate integral 0 to infinity of e^{-ax}\cos{bx}    • #Integrationbyparts || Evaluate  integral ...   In the following link I have explained hydro static force of semi circular plate by an example.    • Application of integrals || Hydro static f...   In the following link I have explained hydro static force of one end of a cylindrical drum with SI measure    • #Applicationofintegrals || hydro static  f...   In the following link I have explained Hydrostatic Pressure and Force on a isosceles right triangular plate    • Applicationofintegrals || Hydrostatic Pres...   Partial differentiation of a function explained in the following link    • #MA3151,  Function of several variables   Stretching of an elastic membrane example 1 link is given below    • #Eigenvalue ,#Eigenvectors, #elastic_membr...   For Non repeated Eigen values how to find the eigenvectors is explained in the following link    • #Eigenvalue ,#Eigenvectors, Eigenvalue and...   For repeated Eigen values how to find the eigenvectors is explained in the following link    • #Eigenvalue ,#Eigenvectors, Eigenvalue & e...   For repeated Eigen values how to find the eigenvectors is explained in the following link    • #Eigenvalue,#eigenvector,Eigenvalue and ei...   In the following link i have explained the application of derivatives by an example:    • #MA3151 || Find the local maximum and mini...   integral 0 to 1 of dx/(1+sqrt{x})^4 substitution method 1    • #integrals || integral 0 to 1 of dx/(1+sqr...   Evaluate integral of (log{x})^2} divided by {x^2} dx    • #Intgrationbyparts || Evaluate integral of...   Evaluate integral 0 to infinity of e^{-ax}\sin{bx}    • #Integrationbyparts || Evaluate  integral ...   Change the order of integration and hence evaluate integral 0 to a integral 0 to 2\sqrt{ax} x^2 dydx :   • Change the order of integration and hence ...   Change the order of integration, integral 0to1 integral x to\sqrt{2-x^2} x by \sqrt{x^2+y^2}dydx :    • Change the order of integration, integral ...