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# Solving Indefinite Integrals Of Square Root Functions

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I can't figure out how to solve for ∫ sqrt(2x^2-4) / (7x). Can someone please help me?

Feb 26, 2019

### 3+0 Answers

#1
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2x^2-4>0

x^2-2>0

x^2>2

x>sqrt2    or   x<-sqrt2

I have not worked it out but I am thinking that you could let    $$\theta=sec^{-1}\frac{x}{\sqrt2}$$

that should help.

Feb 26, 2019
edited by Melody  Feb 26, 2019
#2
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"I can't figure out how to solve for ∫ sqrt(2x^2-4) / (7x). Can someone please help me?"

Like so:

(As it is an indefinite integral you should add an arbitrary constant of course.)

.

Feb 26, 2019
edited by Alan  Feb 26, 2019
#3
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Very nice, Alan!!!!

CPhill  Feb 26, 2019