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you you okay this is black pen redhead and sometimes blue anyway today Im gonna show you guys how to solve this integral so that we can all get on Wi-Fi here we go we see that we have this plus that times the square root of 4 minus X square so our first is to Buddhists and I will break this integral into two intervals so for the first one well just have the integral from negative 2 to 2 this times that so thats write down X to a third power cosine of X over 2 times square root of 1 minus x squared and were going to close this by putting down the DX right here and the next I will be adding this with 1/2 times that in the integral right but because one happens a constant multiple so I can actually write that down first and then the integral from negative 2 to 2 and we have the square root of 4 minus x squared and then we have the DX here and once again although they look crazy but they are actually not that bad so here is the deal for the first one in fact its actually just zero be