Evaluate the definite integral.

http://www.webassign.net/cgi-bin/sym...%28%20%29%20dx

I really am not sure how to evaluate this integral.

Do i use the substitution method and set my u = 1+2x?

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- May 2nd 2010, 01:34 PMrhcp1231definite integral
Evaluate the definite integral.

http://www.webassign.net/cgi-bin/sym...%28%20%29%20dx

I really am not sure how to evaluate this integral.

Do i use the substitution method and set my u = 1+2x? - May 2nd 2010, 01:36 PMmaddas
Try $\displaystyle x=\frac{u^2}2 -\frac1{\color{red}2}$.

edit: whoops. Thanks Linnus. - May 2nd 2010, 01:41 PMrhcp1231
[quote=maddas;505552]Try [tex]x=\frac{u^2}2 -1

how did you get that x value? - May 2nd 2010, 01:43 PMLinnus
Wouldn't it be

$\displaystyle

u= \sqrt{1+2x}

$

$\displaystyle

u^2=1+2x

$

$\displaystyle

u^2-1=2x

$

$\displaystyle

x= (u^2-1)/2

$ - May 2nd 2010, 01:48 PMmaddas