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searching for Integration by substitution 3 found (35 total)

alternate case: integration by substitution

Jensen's inequality (4,617 words) [view diff] exact match in snippet view article find links to article

a , b ] {\displaystyle [a,b]} need not be unity. However, by integration by substitution, the interval can be rescaled so that it has measure unity. Then

Error function (6,897 words) [view diff] exact match in snippet view article find links to article

standard deviation σ) and a constant L > μ, it can be shown via integration by substitution: Pr [ X ≤ L ] = 1 2 + 1 2 erf ⁡ L − μ 2 σ ≈ A exp ⁡ ( − B ( L

Characterizations of the exponential function (4,251 words) [view diff] exact match in snippet view article find links to article

be established for n a natural number by induction, or using integration by substitution. (The extension to real powers must wait until ln and exp have