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" (vii) "int(a)^(b)(log x)/(x)dx" (UP 20...

" (vii) "int_(a)^(b)(log x)/(x)dx" (UP 2013) "

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

int_(1)^(2)(log x)/(x)dx=

int_(a)^(b)(log x)/(x^(2))dx

int_(a)^(b) (log x)/(x) dx is :

int(cos(a+b log x))/(x)dx

(b) int_(1)^(3)(cos(log x^(2)))/(x)dx

int(log(log x))/(x)dx) is

int_(-1)^(1)log[(a-x)/(a+x)]dx

int(log(log x))/(x)dx

int_(-a)^(a)log((a-x)/(a+x))dx=?