[B L U E]

∫

1

0

x^m (lnx)ⁿ dx = I _m,n

a) Show that

(-1)ⁿ

∫

1

0

xⁿe^-(m+1)xdx =I _m,n

b)Show that

(-1)^n n!

(m+1)ⁿ⁺¹

= I _m,n