Average value of function, answer check

[8point1]

Homework Statement

Find the average value of the function u(x)= 10xsin(x²) on the interval [0, ∏^1/2]

(Sorry, I can't figure out how to make the square root symbol)

Homework Equations

The Attempt at a Solution

For the integral of u(x), I got -5cos(x²)

I substituted 0 and ∏^1/2 and got 10.

then I multiplied by 1/b-a which was 1/∏^1/2

making my final answer 10/∏^1/2

 

[Mark44]

Homework Statement

Find the average value of the function u(x)= 10xsin(x²) on the interval [0, ∏^1/2]

(Sorry, I can't figure out how to make the square root symbol)

[ itex ]\sqrt{\pi}[ /itex ] - omit the extra spaces.

Here's a link to a PF page about using LaTeX - https://www.physicsforums.com/showthread.php?t=386951

Homework Equations

The Attempt at a Solution

For the integral of u(x), I got -5cos(x²)

I substituted 0 and ∏^1/2 and got 10.

then I multiplied by 1/b-a which was 1/∏^1/2

making my final answer 10/∏^1/2

I get the same thing. Good work!

 

[8point1]

Great, thank you so much!