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Showing posts from May, 2022

CHALLENGING INTEGRAL INTEGRALBOT

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In this post we will prove the following integral Click here to see the proof. We will need the following results previously established proved here , and proved here

HYPERBOLIC INTEGRAL WITH GLAISHER CONSTANT

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Today we will prove the following result seen in this Twitter post : First we need a Lemma: Lemma 1: (1) Proof: Corollary: If we let in (1) we obtain (2) Now, consider the following integral (3) Proof: Where in (*) we used the following result proved here Now if we differentiate (3) with respect to s and let we get where we used that (see here ) and

ELLIPTIC INTEGRAL HYPERBOLIC FUNCTIONS

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Today we will prove the following result that appears in this Twitter post Click here to see the proof.