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Calculus1 23 Online
OpenStudy (anonymous):

Need help with a integrate problem

OpenStudy (anonymous):

\[\int\limits (x-1) \sqrt{x} dx\]

OpenStudy (flvs.net):

let u=1-x du=-du int(1-u)/udu =-int1/u-1du =1-x-ln(1-x)+c

OpenStudy (anonymous):

can you explain that a bit more

OpenStudy (flvs.net):

WHat do you mean?

OpenStudy (anonymous):

like how did you get -int(1-u)/udu

OpenStudy (alekos):

that's not right because if you differentiate the result you dont get the original integral

OpenStudy (anonymous):

really

OpenStudy (freckles):

recall a(b+c)=ab+ac

OpenStudy (freckles):

\[\int\limits (x \cdot x^\frac{1}{2}-x^\frac{1}{2}) dx\] can you try from here

OpenStudy (alekos):

yes really. Should go like this......... \[\int\limits(x \sqrt{x}-\sqrt{x})\] \[\int\limits x \sqrt{x} - \int\limits \sqrt{x}\]

OpenStudy (alekos):

thats where i was going

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