(x^(m))/(log_(e)x)

If f(x)=log_(x^(2))(log_(e)x) , then f'(x) at x=e is

Find the range of f(x)=log_(e)x-((log_(e)x)^(2))/(|log_(e)x|)

int_(0)^(16)(log_(e )x^(2))/(log_(e )x^(2)+log_(e )(x^(2)-44x+484))dx is equal to

If f(x) = log_(x^(2)) (log_(e) x) "then f' (x) at x= e" is

Let m,n be two positive real numbers and define f(n)=int_(0)^(oo)x^(n-1)e^(-x)dx and g(m,n)=int_(0)^(1)x^(m-1)(1-m)^(n-1)dx . It is known that f(n) for n gt 0 is finite and g(m, n) = g(n, m) for m, n gt 0. int_(0)^(1)x^(m)(log_(e).(1)/(x))dx=

If I_(m)=int_(1)^(e )(log_(e)x)^(m)dx , then the value of (I_(m)+mI_(m-1)) is -

I=int(log_(e)(log_(e)x))/(x(log_(e)x))dx

Evaluate int(1+x^(2)log_(e)x)/(x+x^(2)log_(e)x)dx

Evaluate int(1+x^(2)log_(e)x)/(x+x^(2)log_(e)x)dx