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Mathematics 15 Online
OpenStudy (anonymous):

help plzzz ....calculus ....

OpenStudy (anonymous):

u need a question lol

OpenStudy (anonymous):

\[\int\limits \frac{ x+sinx }{ 1+cosx }dx\]

OpenStudy (anonymous):

@amistre64 @ganeshie8 @dan815

OpenStudy (amistre64):

might want to split it up

OpenStudy (amistre64):

the right side is logable, the the left side by parts

OpenStudy (amistre64):

\[\int\limits \frac{ x+sinx }{ 1+cosx }dx\] \[\int\limits~ x\frac{1}{ 1+cosx }+\frac{ sinx }{ 1+cosx }~dx\]

OpenStudy (anonymous):

@amistre64 by parts it takes long i am not getting ... any other method .....ans is x tan (x/2)

OpenStudy (amistre64):

im wondering of there is some nifty little multiply by one format that could be used then, or an add zero trick

OpenStudy (amistre64):

i recall the first time a saw the sec(x) solution .... i was sooo mad at it lol

OpenStudy (anonymous):

well this my first sum in this excersise which is taking soo long .by parts for the above its tooo confusing ,,,,

OpenStudy (amistre64):

\[\int sec(x)~dx\] \[\int sec(x)\frac{sec(x)+tan(x)}{sec(x)+tan(x)}~dx\] \[\int \frac{sec^2(x)+sec(x)tan(x)}{sec(x)+tan(x)}~dx\] \[\int \frac{sec^2(x)+sec(x)tan(x)}{tan(x)+sec(x)}~dx=\ln(tan(x)+sec(x))\]

OpenStudy (anonymous):

this is tooo diffrent .....@@

OpenStudy (dan815):

logarithmic integral

OpenStudy (anonymous):

@ amistre64 i think i confused u ...:-((....

OpenStudy (amistre64):

\[\int\limits~ \frac{x}{ 1+cosx }+\frac{ sinx }{ 1+cosx }~dx\] \[\int\limits~ \frac{x}{ 1+cosx }dx-\ln[1+cos(x)]\] \[\int\limits~ \frac{x}{ 1+cosx }dx\] i agree, this is a pain :/

OpenStudy (anonymous):

plain??

OpenStudy (amistre64):

p-a-i-n; splitting it up dint make it easier, or at least by parts on this doesnt make it any easier

OpenStudy (anonymous):

hmm .... too confused with this ......

OpenStudy (anonymous):

anyone solve the by parts ... i would be great help ????

OpenStudy (dan815):

can u do the derivative of x tan x

OpenStudy (dan815):

or x tan(x/2) and work backwards

OpenStudy (dan815):

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