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I want to define the pdf function that is the convolution of n uniform [0,1] pdfs using the Nest function/process. I realize I can use a for-like loop to accomplish this, but I am trying to expand my horizons and understand Mathematica and...
Input of: 1. Integrate[ChebyshevT[1, z] (1 - z^2)^(-1/2), {z, a, b}, Assumptions -> -1 a && b -1 0 && b > a && b -1 a && b 0] Inputs 1. and 2. give outputs 1. and 2. that are correct (and also true/correct for a=0). The third...