The integral after the change of order of integration is
.
<h3>What is meant by changing the order of integration?</h3>
- The order of integration is responsible for the description of the region and accordingly the limits of the integration.
- Here the change of order of integration implies the change of limits of integration.
- If the region of integration consisted of a vertical strip and slides along the x-axis then in the changed order a horizontal strip and a slide along the y-axis are to be considered and vice-versa.
<h3>Calculation:</h3>
Given integration is

Drawing the region of the given integration by taking the curves from the limits as y = √x ⇒ x = y² and y = 0; and the lines x = 0 and x = 16
The region of the given integration is shaded in red color.
Then change the order of the integration by fixing the axes,
as y = 0 then x = 0, and y = 4 then x = y²
Thus, the changed limits are:
x: 0 to y²
y: 0 to 4
Then the new integration with the changed order of integration is

Learn more about changing the order of integration here:
brainly.com/question/14529241
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