8. [-/1 Points] DETAILS $\quad$ SCALC9 4.3.029. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Evaluate the integral. \[ \int_{4}^{9} \sqrt{x} d x \] Need Help? Read It Watch It Submit Answer

Step 1 ：The integral of a function can be thought of as the area under the curve of that function, between two points. In this case, we are asked to find the integral of the function \(\sqrt{x}\) from 4 to 9.

Step 2 ：The integral of \(\sqrt{x}\) is \(\frac{2}{3}x^{3/2}\), so we need to evaluate this from 4 to 9 and subtract the two results to get the final answer.

Step 3 ：Final Answer: The integral of \(\sqrt{x}\) from 4 to 9 is \(\boxed{\frac{38}{3}}\).