Help with C4 Integration A-level Maths

Hi

Can anyone tell me how to integrate sin^2(2x)cos(2x). This is an FP2 question but I think to do this is more to do with c4 knowledge.

Thanks

Reply 1

Naruke

Original post by helpme:)

Hi

Can anyone tell me how to integrate sin^2(2x)cos(2x). This is an FP2 question but I think to do this is more to do with c4 knowledge.

Thanks

u = \sin2x

Reply 2

potassiumnitrate

Could you substitute sin(2x)cos(2x) with half sin(4x)

actually edit: doubt it makes it easier

(edited 7 years ago)

Reverse chain rule

You could integrate by recognition

\displaystyle \int{f'(x)[f(x)]^n}dx = \frac{[f(x)]^{n+1}}{n+1}+c

Reply 5

helpme:)

Hi guys that replyed, thanks for being so quick! I think so we have finished fp2 and have not rly done much c4 so i have no clue how to integrate by substiution so I will probs ask my teacher but honestly thanks guys

Reply 6

smooo

https://www.symbolab.com/solver/indefinite-integral-calculator/%5Cint%5Csin%5E%7B2%7D%5Cleft(2x%5Cright)%5Ccos%5Cleft(2x%5Cright)%20dx

may be of some help.

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