Question

integration of dx/x(x^7+1)

Answer 1

Final Answer :
$\frac{1}{7} ln( \frac{ {x}^{7} }{ {x}^{7} + 1} ) + c \: where \: c \: is \\ \: arbitrary \: constant$
Concepts :
1) Substitution in Integrals.

For Calculation see Pic attached.
Steps:
1) Put
${x}^{7} + 1 = t$
Hope, you understand my answer and it may helps you.