Integral of 1/sqrt(2x) using u-substitution

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Integral of 1/sqrt(2x) using u-substitution

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Love it! I'm applying to be a math tutor at my local university, and I need to brush up on everything Calc 2 through Linear Algebra. Your videos really help jog my memory lol

AfroNyokki
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This is great teaching. 10/10 better than my college professors.

zemotika
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try this: elliptic integral of the 2nd kind, integrate sqrt(1+c*sin^2(z) ] dz = (2/3)*csc^2(z)*(c*sin^2(z)+1)^(3/2), the c-value is negative, csc has a zero-point issue

Jkauppa
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This seems like an over complication of reversing the chain rule where:
∫ f(ax+b)^n dx = ((ax+b)^(n+1))/((n+1)a))+c where a, b and n are constants and n ≠ -1.

So this is easily applied to this function to get:
(2(2x)^(1/2))/(1/2)) + c = (2x)^1/2 + c

This rule btw is derived from the chain rule given d/dx((ax+b)^(n+1)) = a(ax+b)^n.

mcmacmcgee
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I am only here to look and feel smart. Thank you. Also, I can’t remember what dx is and I hope to figure that out by the end of the video 😆

JakeBerg
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I am very weak in maths plz give me some tips to became a smart in mathematics plz give me reply!

akashkamidwar