int_(1/2)^(2)|log_(10)x|dx=

int_(1)^(2) (log_(e) x)/(x^(2)) dx

int_(1)^(3)|(2-x)log_(e )x|dx is equal to:

int_(1)^(3)|(2-x)log_(e )x|dx is equal to:

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

Prove that, int_(0)^(pi)log(1+cos x)dx=-pi log2 , given int_(0)^((pi)/(2))log((sin x))dx=(pi)/(2)"log"(1)/(2) .

Evaluate int_(1)^(2)(log(x+1))/(x+1)dx

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