Value of 1/n Sum of cos^2(kpi/n ) between 0 and n-1 as n goes to infinity.

In using integration by part. Sometimes We don't know which Function to choose to integrate first. We know that the integration bypass, let us choose between two functions, F and T, we have to choose. Which one is the first derivative? And which one is the second derivative And how to combine them to get to change the function and make it easier to compute using integration by a part? We can let f equal F. Prime and G is the integration of G And combine in the integration and differentiation. We can get the result that we need. We can use substitution as well or we can use a change of variable. This is this work sometime And we can use the sign and the cosine, or maybe the tangent to combine both, or all these to find the function that we need By the end. Doing a change of variable or an integration bypass or any kind of substitution will help us find the Primitive that we look for the fundamental theorem of calculus that has find the derivative. And from there, we see if the function is increasing or decreasing. Sometimes we are interested in Computing, the second derivative. And we want to see if the function is concave up or concave down, and that's what we need to do.
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riemmann sum