- #1

XtremePhysX

- 92

- 0

## Homework Statement

find

## Homework Equations

[tex]\int log\sqrt{1+x^2}dx[/tex]

## The Attempt at a Solution

I honestly don't know what to do?

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- Thread starter XtremePhysX
- Start date

- #1

XtremePhysX

- 92

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find

[tex]\int log\sqrt{1+x^2}dx[/tex]

I honestly don't know what to do?

- #2

- 13,264

- 1,552

I would use a hyperbolic function to make a substitution to get rid of the square root.

- #3

XtremePhysX

- 92

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I don't know how to do that?

- #4

- 13,264

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[tex] x = \sinh t [/tex] would be the obvious candidate.

- #5

XtremePhysX

- 92

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So is that a substitution?

- #6

XtremePhysX

- 92

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the answer is xlnx-x+c is that right?

- #7

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- #8

Millennial

- 296

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Yes, hyperbolic substitution would work here.

- #9

XtremePhysX

- 92

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Yes, hyperbolic substitution would work here.

Hello mill

but is the answer xlnx-x

also, is the derivative of ln(x^2) just 2/x and the derivative of (lnx)^2 is 2lnx/x ?

- #10

Millennial

- 296

- 0

And answering your question about derivatives: Yes, they are both correct.

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