$\"\"$

$\"\"$ is measured in pounds per foot and $\"\"$ is measured in feet.

Units for $\"\"$ :

$\"\"$ .

Units for $\"\"$ is pounds per square feet.

$\"\"$ is the product of $\"\"$ in pounds per foot and change in $\"\"$ which is in feet.

$\"\"$ .

Hence units of the integral is pounds.

$\"\"$

Units for $\"\"$ is pounds per square feet.

Units of the $\"\"$ is pounds.