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Find the Value of the Integral 01exex+1dx\int _ { 0 } ^ { 1 } \frac { e ^ { x } } { e ^ { x } + 1 } d x

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Find the value of the integral 01exex+1dx\int _ { 0 } ^ { 1 } \frac { e ^ { x } } { e ^ { x } + 1 } d x


Definitions:

Hypothesis

An initial hypothesis put forward to explain a phenomenon that serves as a basis for further study and can be verified by experimental and observational means.

Scientific Theory

A well-substantiated explanation of some aspect of the natural world, based on a body of evidence and repeatedly tested hypotheses.

Testable Explanation

A hypothesis that can be supported or refuted through experimentation or observation.

Hypothesis

A proposed explanation for a phenomenon, subject to further testing and experimentation.

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