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OpenStudy (anonymous):
Evaluate the integral using the given substitution.
∫dx/(sqrt 4x+4), u=4x+4
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OpenStudy (anonymous):
|dw:1376353646123:dw|
OpenStudy (anonymous):
ok so you are even given the substitution , find derivative of u , then substitude in the integral
OpenStudy (anonymous):
Derivative of u is 4
OpenStudy (anonymous):
wait you mean antiderivative?
OpenStudy (anonymous):
no no i mean derivative , 4 is correct but let me write it for you
du=4dx
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OpenStudy (anonymous):
ok so now \[dx=\frac{ du }{ 4 }\] and u=4x+4
so substitude in the integral for that
OpenStudy (anonymous):
Okay got it, then what
OpenStudy (anonymous):
so what do you get when u substitude for u and replace dx with du/4
OpenStudy (anonymous):
I need you to set that up for me, I'm a little confused
OpenStudy (anonymous):
ok so we have u=4x+4 and dx=du/4 so the integral becomes
\[\int\limits_{}^{}{\frac{ du }{ 4\sqrt{u} }}\]
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OpenStudy (anonymous):
do you know to solve this integral now ?
OpenStudy (anonymous):
no :/
OpenStudy (anonymous):
huh , ok so the constant there we can pull out of the integral so it would be
|dw:1376354307011:dw|
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