Question

\text { Let } m, n \text { be nonnegative integers and define } I(m, n)=\int^{1} x^{m}(\ln x)^{n} d x \text {. Find a relation } between I(m, n) and I(m, n − 1) (n ≥ 1) and find a general formula of I(m, n).

Question image 1Question image 2