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FP3

http://mathsathawthorn.pbworks.com/f/FP3+2008.pdf
In 6bii? Okay so ive shown the equation they have gave ,what do i do next?
Reply 1
Integrate it. Put the cos(theta) into the dx and integrate with respect to sin(x) giving you sin(x) to the power of 5 divided by 5. Put in limits and multiply by 6pi
Reply 2
Original post by 130398
Integrate it. Put the cos(theta) into the dx and integrate with respect to sin(x) giving you sin(x) to the power of 5 divided by 5. Put in limits and multiply by 6pi


https://www.youtube.com/watch?v=_prwq0vxhMQ&index=4&list=PL6bHsS8LZT3NBvz8CD47dwdx20UbChE24
Okay so at 14.18 they have put as u=sintheta? How am i supposed to know that?
Reply 3
Original post by Ayaz789
https://www.youtube.com/watch?v=_prwq0vxhMQ&index=4&list=PL6bHsS8LZT3NBvz8CD47dwdx20UbChE24
Okay so at 14.18 they have put as u=sintheta? How am i supposed to know that?


It's a common c4 integral really. Use udv dv du or whatever it was. If you're doing FP3 you may be asked to use a substitution of your choice. That was popular in older papers but the newer ones (Edexcel at least) don't do it as much.
Reply 4
image.jpg
Messy but oh well. That's how I would have done it.
Reply 5
Original post by 130398
image.jpg
Messy but oh well. That's how I would have done it.


So you just integrated the cosx seperately? Its fine , its not messy haha :biggrin:
Reply 6
Original post by Ayaz789
So you just integrated the cosx seperately? Its fine , its not messy haha :biggrin:


Basically for this integral you are considering the derivatice of sin5x \sin^5 x . This person basically made a substitution of u=sinx u=\sin x . For these types of integrals it's really helpful if you can learn to recognise them. As well as the intergals of tannxsec2x \tan^n x \sec^2 x and secnxtanx \sec^n x \tan x .

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