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

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

Steps

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 $\boxed{\frac{38}{3}}$.

8. [-/1 Points]DETAILS $\quad$ SCALC9 4.3.029.MY NOTESASK YOUR TEACHERPRACTICE ANOTHEREvaluate the integral.\[\int_{4}^{9} \sqrt{x} d x\]Need Help?Read ItWatch ItSubmit Answer

Answer

Popular Problems

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