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Mathematics 15 Online
OpenStudy (anonymous):

the integral of x sqrt of x dx

OpenStudy (anonymous):

is that\[\int\limits_{}^{}(x \sqrt{x})\]?

OpenStudy (anonymous):

\[2\int\limits_{}^{}x \sqrt{x} \dx] sorry for the typo..

OpenStudy (anonymous):

x*sqrt x = x^(3/2), so int (x^(3/2)) is (2/5)x^(5/2)+c

OpenStudy (anonymous):

thank you! :)

OpenStudy (anonymous):

question: where did you get (2/5)? i got 5x^(5/2)

OpenStudy (anonymous):

the rule is to divide by the 'new' power of x, which is (5/2)

OpenStudy (anonymous):

oh ok. thanks. :)

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