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Juliaan

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Evaluate:

/4
|
| [( x^2 - 1) / x] dx
|
/2

Please and ty.
 

whackymac

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Divide the numerator individually,
ie. (x^2 - 1) / x = x - (1 / x)

Now integrate that instead,
/4
|
| x - (1/x) dx = [ (x^2)/2 - ln x ] -> then sub in the borders for your answer.
|
/2
 

LoneWolf1990

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/4
|
| [( x^2 - 1) / x] dx
|
/2

=

/4
|
| [x - 1 / x] dx
|
/2

=
4
[x^2/2-lnx]
2
=

(8-ln(4))-(2-ln(2))

=6-ln(4)+ln(2)
 

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