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0-a-e-x-2-dx-pi-2-e-a-2-2a-1-a-2-2a-3-a-4-2a-Prove-




Question Number 127186 by Dwaipayan Shikari last updated on 27/Dec/20
∫_0 ^a e^(−x^2 ) dx=((√π)/2)−(e^(−a^2 ) /(2a+(1/(a+(2/(2a+(3/(a+(4/(2a+...)))))))))) (Prove)
$$\int_{\mathrm{0}} ^{{a}} {e}^{−{x}^{\mathrm{2}} } {dx}=\frac{\sqrt{\pi}}{\mathrm{2}}−\frac{{e}^{−{a}^{\mathrm{2}} } }{\mathrm{2}{a}+\frac{\mathrm{1}}{{a}+\frac{\mathrm{2}}{\mathrm{2}{a}+\frac{\mathrm{3}}{{a}+\frac{\mathrm{4}}{\mathrm{2}{a}+…}}}}}\:\left({Prove}\right) \\ $$
Commented by Dwaipayan Shikari last updated on 27/Dec/20

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