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Mathematics 15 Online
OpenStudy (anonymous):

can someone help with this integral:

OpenStudy (anonymous):

\[\int\limits_{}^{} (1)/(2\sqrt{x}+2x)\]

OpenStudy (anonymous):

break this up into partial fractions

OpenStudy (anonymous):

so what, like 1/2sqrt x and 1/2x

OpenStudy (anonymous):

??

OpenStudy (anonymous):

it comes out to 1/2sqrtx - 1 / 2(1 + sqrtx)

OpenStudy (anonymous):

i can integrate the first bit but not sure about second part sorry - maybe there's a better way to do this

OpenStudy (anonymous):

Substitute \[u =\sqrt{x}\] then do the partial fraction decomposition. This is just the first step. This is a very complicated problem.

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