\[\Large \int\limits_{0}^{1} \frac{ \tan^{-1} x }{ x^{2/3} } dx\]
Given the integral above equals to
\[\pi (\frac{ a }{ b } - \frac{ \sqrt{c} }{ d }) + \frac{ e }{ f } \ln (g)\]
where a,b,c,d,e and f are positive integers with prime g and
\[\gcd(a,b) = \gcd(c,d) = \gcd(e,f) = 1\]
\[\text {Find the value of the 7 digit integer,} \space \frac{ }{ abcdefg }\]
@kainui

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This looks easy

i have no idea how to do this one tbh

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