Integrals

https://www.youtube.com/watch?v=gCUAerjff9cCheck this out, it may be a fresh perspective studying alone

You may also abbreviate the answer, iterating to ultimately...1/4[cos6x/6-cos4x/4+cos2x/2)] + constant

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.

http://www.epcc.edu/OfficeofStudentSuccess/tutorialservices/tutorialsupportservicesMDP/Documents/Tri...Everything for complicated calculus up to parameters etc and before iterative methods, and the foundation for the aforementioned also.

IMG_20171229_205824.jpg

Hi aiesha Please reply if satisfied with my solution.

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

When you apply u.v.w , it become complexThere is a short cut method also but for which in depth knowledge is required

erkamathYour solution really helped methankyou

Most welcome aiesha

-cos(nx)/n

sorry, thought that was a comma