Question and Answers Forum

All Questions      Topic List

Differential Equation Questions

Previous in All Question      Next in All Question      

Previous in Differential Equation      Next in Differential Equation      

Question Number 211703 by MrGaster last updated on 17/Sep/24

$$$$$$\mathrm{Calculate}\mathrm{the}\mathrm{quadruple}$$$$\mathrm{integralas}\mathrm{follows}:$$$$\mathit{I}={\int }_0^1{\int }_0^{\mathit{x}}{\int }_0^{\mathbf{y}}{\int }_0^{\mathit{z}}\frac{\mathbf{sin}({\mathit{x}}^2+{\mathbf{y}}^2+{\mathit{z}}^2+{\mathit{w}}^2)}{1+{\mathit{w}}^2+{\mathit{z}}^2}\mathit{d}\mathit{w}\mathit{d}\mathit{z}\mathbf{dy}\mathit{d}\mathit{x}$$$$$$

Commented by MrGaster last updated on 17/Sep/24

Calculate the integrals in the areas 0≤w≤z, 0≤z≤y, 0≤y≤x, 0≤x≤1, where the function of the integral is sin (x 2+y 2+z 2+w 2) divided by (1+w^2+z^2).

Commented by BHOOPENDRA last updated on 18/Sep/24

$$I\approx 0.41176??$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com