Taking advantage of symmetry…

Estimate: Solution: The problem cannot be evaluated by the usual techniques of integration; that is to say, the integrand does not have an antiderivative. The problem can be handled if we happen to notice thet the integrand is symmetric about the point . To show this is so, let It suffices to show that Note:…

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…a very simple integral

Here I want to show how to compute an integral to prove that is not equal to at all. Consider the following integral: This may look somewhat difficult, but it actually works out to be quite simple to solve. I am going to solve this integral in what I believe to be the most pedestrian…

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