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\int_{-1}^{1} ln (x +\sqrt{1 + x^2} )

Source: 1999 Estonia National Olympiad Final Round grade 12 p2

March 11, 2020
calculusintegrationIntegral

Problem Statement

Find the value of the integral 11ln(x+1+x2)dx\int_{-1}^{1} ln \left(x +\sqrt{1 + x^2}\right) dx.