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What is the integral of 1 x? - Mathematics Stack Exchange 16 Answers to the question of the integral of 1 x 1 x are all based on an implicit assumption that the upper and lower limits of the integral are both positive real numbers If we allow more generality, we find an interesting paradox For instance, suppose the limits on the integral are from −A A to +A + A where A A is a real, positive number
Bessel Function Integral Identity - Mathematics Stack Exchange The above integral is what you should arrive at when you take the Inversion Integral and integrate over the complex plane Having tested its values for x and t, it appears to be consistent with my result
integration - Frullanis integral - Mathematics Stack Exchange You'll need to complete a few actions and gain 15 reputation points before being able to upvote Upvoting indicates when questions and answers are useful What's reputation and how do I get it? Instead, you can save this post to reference later
Integral with arctan (sinx) - Mathematics Stack Exchange The integral I I to be evaluated is I =∫5π 2 π 2 f(sin x, cos x)dx (3) (3) I = ∫ π 2 5 π 2 f (sin x, cos x) d x Since the integrand is periodic with period 2π 2 π and length of interval of integration is also 2π 2 π, it follows that the interval of integration can be replaced by any interval of length 2π 2 π Thus we have