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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]

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