Question

Evaluate ( (dx-4) dx 16 S (WX - 4) dx = ( (Type an exact answer in simplified form) 9

Answer 1

`\begin{gathered} \int ^(16)_9(\sqrt[]{x}-4)dx \\ \int ^(16)_9(\sqrt[]{x}-4)dx=\int ^(16)_9\sqrt[]{x}dx-\int ^(16)_94dx \\ \int ^(16)_9\sqrt[]{x}dx=\frac{2x^{(3)/(2)}}{3}\mleft\{\begin{aligned}16 \\ 9\end{aligned}=(74)/(3)\mright. \\ \int ^(16)_94dx=-4x\mleft\{\begin{aligned}16 \\ 9\end{aligned}\mright.=-28 \\ \int ^(16)_9(\sqrt[]{x}-4)dx=(74)/(3)-28=-(10)/(3) \end{gathered}`