Can anyone give me any advice on solving this integral?

((x^2-1))/((square root(2x-1))

Would I use u=x^2-1 then du=2x ?

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- Aug 18th 2011, 12:10 PMhomeylova223Integration by substitution?
Can anyone give me any advice on solving this integral?

((x^2-1))/((square root(2x-1))

Would I use u=x^2-1 then du=2x ? - Aug 18th 2011, 12:45 PMSammySRe: Integration by substitution?
Let u = 2x - 1 .

- Aug 18th 2011, 12:49 PMe^(i*pi)Re: Integration by substitution?
It's often easier to pick your sub as what's in the square root as this gives the nicer when it comes to integrating.

For the first term sub and also

This gives a first term of

When that's integrated we get

where which is the constant of integration.

Can you integrate the second term using the same u-sub - Aug 18th 2011, 03:51 PMSorobanRe: Integration by substitution?
Hello, homeylova223!

Quote:

When the radicand is*linear*, I let equal the*entire*__radical__

. .

Substitute: .

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Back-substitute: .

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