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# FP3

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1. http://mathsathawthorn.pbworks.com/f/FP3+2008.pdf
In 6bii? Okay so ive shown the equation they have gave ,what do i do next?
2. 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
3. (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
Okay so at 14.18 they have put as u=sintheta? How am i supposed to know that?
4. (Original post by Ayaz789)
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.

5. Messy but oh well. That's how I would have done it.
6. (Original post by 130398)

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
7. (Original post by Ayaz789)
So you just integrated the cosx seperately? Its fine , its not messy haha
Basically for this integral you are considering the derivatice of . This person basically made a substitution of . For these types of integrals it's really helpful if you can learn to recognise them. As well as the intergals of and .

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