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Mathematics 18 Online
OpenStudy (anonymous):

Please help :)

OpenStudy (anonymous):

http://screencast.com/t/v188H7y1g the box part

OpenStudy (anonymous):

or rather how do i integrate \[\int\limits_{0}^{\pi/2} \cos(4\theta)+4\cos(2\theta)\]

OpenStudy (anonymous):

@satellite73 @robtobey

OpenStudy (anonymous):

god do i hate these

OpenStudy (anonymous):

oh actually this is not bad a mental u - sub for both

OpenStudy (anonymous):

?

OpenStudy (anonymous):

\[\int\cos(4\theta)+4\cos(2\theta)\] \[=\int\cos(4\theta)d\theta+4\int\cos(2\theta)d\theta\] is a start

OpenStudy (anonymous):

okay

OpenStudy (anonymous):

then the anti derivative of \(\cos(4\theta)\) is \(\frac{1}{4}\sin(4\theta)\)

OpenStudy (anonymous):

yeah

OpenStudy (anonymous):

similarly the anti derivative of \(\cos(2\theta)\) is \(\frac{1}{2}\sin(2\theta)\)

OpenStudy (anonymous):

plug and play

OpenStudy (anonymous):

so whts the final answer

OpenStudy (anonymous):

i have no idea you have to plug in the upper limit, plug in the lower limit, and subtract

OpenStudy (anonymous):

\[\frac{1}{4}(\sin(4\theta))+2(\sin(2\theta))\]

OpenStudy (anonymous):

this is the final integration

OpenStudy (anonymous):

can u please check coz im not getting the answer

OpenStudy (anonymous):

sorry, you are right

OpenStudy (anonymous):

can u put the limits, and let me know the final answer please

OpenStudy (anonymous):

\[\frac{1}{4}(\sin(4\theta))+2(\sin(2\theta))\] looks right now at 0 you get a big fat 0

OpenStudy (anonymous):

at \(\frac{\pi}{2}\) you get \[\frac{1}{4}\sin(2\pi)+2\sin(\pi)=0\] as well

OpenStudy (anonymous):

cn u chck this as well the marking scheme http://screencast.com/t/8M7mvbM935E

OpenStudy (anonymous):

thts why im confused

OpenStudy (anonymous):

for a final answer of zero all that work for nothing

OpenStudy (anonymous):

hmm so wts wrng with the making scheme

OpenStudy (anonymous):

i don't understand at all what the question is from the link you sent

OpenStudy (anonymous):

lol i found it out, thanks anyway:)

OpenStudy (anonymous):

yw

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