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D-sin-x-2-y-2-tan-x-2-y-2-cos-x-2-y-2-tan-x-2-y-2-dxdy-D-0-pi-4-0-pi-4-




Question Number 216596 by issac last updated on 12/Feb/25
∫∫_(D)    ((sin(x^2 +y^2 )+tan(x^2 +y^2 ))/(cos(x^2 +y^2 )+tan(x^2 +y^2 )))dxdy  D=[0,(π/4)]×[0,(π/4)]
$$\underset{\mathcal{D}} {\int\int}\:\:\:\frac{\mathrm{sin}\left({x}^{\mathrm{2}} +{y}^{\mathrm{2}} \right)+\mathrm{tan}\left({x}^{\mathrm{2}} +{y}^{\mathrm{2}} \right)}{\mathrm{cos}\left({x}^{\mathrm{2}} +{y}^{\mathrm{2}} \right)+\mathrm{tan}\left({x}^{\mathrm{2}} +{y}^{\mathrm{2}} \right)}\mathrm{d}{x}\mathrm{d}{y} \\ $$$$\mathcal{D}=\left[\mathrm{0},\frac{\pi}{\mathrm{4}}\right]×\left[\mathrm{0},\frac{\pi}{\mathrm{4}}\right] \\ $$
Answered by issac last updated on 12/Feb/25
Q216579
$$\mathrm{Q216579} \\ $$

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