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I am trying to work a problem that seems to have me stumped.

∫x/√(x+1) dx

I have tried to look at it as a right triangle with:

hypotenouse = √(x+1)

sideA = 1

sideB = √x

So I have:

cot^2 ∅=x, dx=-2cot∅csc^2 ∅ d∅

csc∅=√(x+1)

Working through the problem I have

-2∫(cot^2 ∅/csc∅) * cot∅csc^2 ∅ d∅

-2∫cot^3 ∅ * csc∅ d∅

-2∫(cos^3 ∅/sin^3 ∅) * (1/sin∅) d∅

-2∫cos^3 ∅/sin^4 ∅ d∅

Trying to solve it from here using more identities just keeps getting messier and I don't seem to be making any progress.

So, my main question is "am I on the right track?" or "is there an easier way that I am overlooking?"

Thank You,

James

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# Homework Help: Integrate x/(x+1)^1/2

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