MathDB
Today's calculation of Integral 821

Source: 1996 Yamaguchi University entrance exam/Science

June 13, 2012
calculusintegrationlogarithmsinequalitiescalculus computations

Problem Statement

Prove that : ln⁡1127<∫14341ln⁡(1−x) dx<ln⁡715.\ln \frac{11}{27}<\int_{\frac 14}^{\frac 34} \frac{1}{\ln (1-x)}\ dx<\ln \frac{7}{15}.
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