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4-16-x-2-dx-0-4-16-x-2-dx-0-4-16-x-2-dx-




Question Number 218309 by 200392jjlv last updated on 05/Apr/25
∫_(−∞) ^∞ (4/(16+x^2 ))dx  = ∫_(−∞) ^0 (4/(16+x^2 ))dx+∫^0 _∞ (4/(16+x^2 ))dx  =
$$\underset{−\infty} {\overset{\infty} {\int}}\frac{\mathrm{4}}{\mathrm{16}+{x}^{\mathrm{2}} }{dx} \\ $$$$=\:\underset{−\infty} {\overset{\mathrm{0}} {\int}}\frac{\mathrm{4}}{\mathrm{16}+{x}^{\mathrm{2}} }{dx}+\underset{\infty} {\int}^{\mathrm{0}} \frac{\mathrm{4}}{\mathrm{16}+{x}^{\mathrm{2}} }{dx} \\ $$$$=\: \\ $$$$ \\ $$

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