" 1) `int_(0)^(1)5^(log_(3)x)dx`=

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int_(0)^(1)log(3+x)dx

int_(0)^(1)(log(1-x))/(x)dx

int_(0)^(1)(1+x)*log(1+x)dx=

int_(0)^(1)(log x)dx

int_(0)^(1)(log(1+x))/(1+x)dx

int_(0)^(1)x log (1+2 x)dx

int_(0)^(1) log (1/x-1) dx =

int_(1)^(3)(log x)/(x)dx

int_(1)^(e )((log x)^(3))/(x)dx=

int_(1)^(x)log_(e)[x]dx