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Question Number 154422 by peter frank last updated on 18/Sep/21

∫((a^2 sin^2 θ+b^2 cos^2 θ)/(a^4 sin^2 θ+b^4 cos^2 θ))dθ

$$\int\frac{\mathrm{a}^{\mathrm{2}} \mathrm{sin}\:^{\mathrm{2}} \theta+\mathrm{b}^{\mathrm{2}} \mathrm{cos}\:^{\mathrm{2}} \theta}{\mathrm{a}^{\mathrm{4}} \mathrm{sin}\:^{\mathrm{2}} \theta+\mathrm{b}^{\mathrm{4}} \mathrm{cos}\:^{\mathrm{2}} \theta}\mathrm{d}\theta \\ $$

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