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# Integration by parts with a 3rd term edexcel c4 watch

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1. a) integrate xsin(2x)

did this part fine, answer is -1/2xcos(2x) + 1/4sin(2x) +C

b) given y=0 when x= 1/4pi, solve dy/dx = xsin(2x)cos^2(y)

I realise I must be missing some trick, should probably have just paid attention in class, any help would be great.
2. (Original post by jameshegarty)

b) given y=0 when x= 1/4pi, solve dy/dx = xsin(2x)cos^2(y)
Separable:

You know how to integrate the RHS from part(a), the LHS is which you should know integrates to...?
Spoiler:
Show
What does differentiate to?
3. (Original post by Zacken)
Separable:

You know how to integrate the RHS from part(a), the LHS is which you should know integrates to...?
Spoiler:
Show
What does differentiate to?
loooooooooool, im a massive idiot. safe
4. (Original post by jameshegarty)
loooooooooool, im a massive idiot. safe
Awesome.

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