The table of integrals in the back of your textbook contains the following reduction formula (this is integral 60 in the table) Show all the steps in the derivation of

this formula (in other words, show me all the steps it takes to discover this formula) ) Use the formula to evaluate \int(2 x+7)^{2} \sqrt{8 x+39} d x \int u^{n} \sqrt{a+b u} d u=\frac{2}{b(2 n+3)}\left[u^{n}(a+b u)^{\frac{3}{2}}-n a \int u^{n-1} \sqrt{a+b u} d u\right]