Q*int(50)^(100)(ln x)/(ln x+ln(150-x))dx...

Q*int_(50)^(100)(ln x)/(ln x+ln(150-x))dx

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Evaluate: int_(50)^(100)(ln x)/(ln x+ln(150-x))dx

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

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

(int_(0)^(1)ln x ln(1-x)dx)/(int_(0)^((1)/(sqrt(2)))x ln x ln(1-x^(2))dx) is equal to

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

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

Show that :int_(0)^(1)(log x)/((1+x))dx=-int_(0)^(1)(log(1+x))/(x)dx

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

int (ln x)/x dx

The value of int_(1)^(e)(1+x^(2)ln x)/(x+x^(2)ln x)*dx is :

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