" 5."int((m)/(x)+(x)/(m)+m^(x)+x^(m)+mx)dx

Evaluate: int((m)/(x)+(x)/(m)+m^(x)+x^(m)+mx)dx( ii) int(sqrt(x)-(1)/(sqrt(x)))^(2)dx

Evaluate the following integrals: int((m)/(x)+(m)/(m)+m^(x)+x^(m)+mx)dx

Evaluate: int((x)/(m)+(m)/(x)+x^(m)+m^(x))dx

int(1)/(x(log x)^(m))dx

int (1)/(x(log x)^m) dx

int(1-m)/(x(logx)^(m))dx , xgt0

" 3.Evaluate: "int(x^(m)+m^(x)+m^(m)+(m)/(x))dx

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)^(oo)(x^(m-1))/((1+x)^(m+n))dx=