SOLUTION: The problem is stated as: {{{ (d/dx) int((sqrt(2+t^2)),dt,0,2)}}} I've done integral problems before but what is the purpose of the d/dx in front? that is throwing me off. I

Question 1004964: The problem is stated as:

I've done integral problems before but what is the purpose of the d/dx in front? that is throwing me off. I don't know what this problem needs in order to be solved.
Please help
Thank you
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
If there are no x variables on either limit of integration, then the answer is simply 0. Here is why

The value of is simply a constant. We don't need to know what actual constant it is, but we definitely know it is NOT a variable. It's a fixed number. So where C is a fixed number. The value of C is equal to the area under the curve from t = 0 to t = 2.

Taking the derivative of any constant leads to 0. . In a visual sense, all constant functions have graphs that are horizontal straight and flat lines. Any tangent line will have a slope of 0. So again, the derivative of a constant function is always 0.

In the end,

Note: this only applies IF there are no x variables anywhere in the limits of integration.
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