Evaluate the following definite integral
$integral subscript 0 superscript straight pi space tanx space dx$

Solution

Let I = $integral subscript 0 superscript straight pi space tanx space dx space equals space left square bracket log open vertical bar cosx close vertical bar right square bracket subscript 0 superscript straight pi space equals space minus left square bracket log open vertical bar cos space straight pi close vertical bar space minus space left square bracket log open vertical bar cos space straight pi close vertical bar space minus log open vertical bar cos space 0 close vertical bar right square bracket$
$equals space left square bracket negative log space 1 space space minus space log space 1 right square bracket space equals space 0$

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Integrals

Evaluate the following definite integral
$integral subscript 0 superscript straight pi space tanx space dx$

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