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sorry, thought that was a comma


Most welcome aiesha


Your solution really helped me


When you apply u.v.w , it become complex

There is a short cut method also but for which in depth knowledge is required

Hello erkamath. May I ask you if you have a way to reach the answer if you had to operate 3 substitutions? I mean, could you break it down to eg ;u.v.w.  where each are a factor of the total amount/polynomial.

perhaps if as you suggest in rearrangement the answer will reach by performing w.u.v to rearrange as desired....

Your opinion would be appreciated,

M. Cover

Uni of Greenwich CMS 08 - Present, Student Ambassador, Pre chartered researchman in award as present. MMath City Uni 05 

Hi aiesha 

Please reply if satisfied with my solution.


Everything for complicated calculus up to parameters etc and before iterative methods, and the foundation for the aforementioned also.

To mention, the obvious increasing order of co-efficient to sin, mapps somewhere to the decreasing coeff orders arranged in cos, where somewhere all the time in operation is the available substitution, sinx = 1-cosx.

You may also abbreviate the answer, iterating to ultimately...

1/4[cos6x/6-cos4x/4+cos2x/2)] + constant


Check this out, it may be a fresh perspective studying alone

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