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theta is now pi and then you add it with okay this video Ill show you guys how to integrate negative 1 to the X power first we wrote 1 and now you might be wondering how in the world can we integrate this right where the truth is not in the real world because for example X cannot be equal to 1/2 otherwise we will be getting the square root of negative 1 and thats a complex number isnt it so in fact we are talking about the complex were in this situation and let me show you guys how to take of this first of all when we have a number to the X power in the integral we actually want to deal with base e rather than base negative 1 so the first step is lets try to think about how we can rewrite negative 1 in terms of e and maybe to the some power okay and to do so we can actually use the Eulers formula so let me show you so let me put it down right here we know that e to the I theta this is equal to cosine theta plus I sine theta or this formula right and now I want to end out negative