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Question Number 208632 by necx122 last updated on 19/Jun/24

∫e^(−x^2 ) dx  could this be integrated by part? What  approach would most likely be suitable  for this integral?

ex2dxcouldthisbeintegratedbypart?Whatapproachwouldmostlikelybesuitableforthisintegral?

Commented by Tinku Tara last updated on 20/Jun/24

https://en.m.wikipedia.org/wiki/Gaussian_integral

Answered by Berbere last updated on 19/Jun/24

(2/( (√π)))∫_0 ^x e^(−t^2 ) dt=erf(x)

2π0xet2dt=erf(x)

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