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C4 integration trig help

Okay so the question is integrate 2sin(3x)sin(2x)

question 6a from this solomon paper a: mark shceme:

http://papers.xtremepapers.com/Edexcel/Advanced%20Level/Mathematics/Subject%20Sorted/C4/Solomon/Solomon%20A%20MS.pdf

It just doesnt make sense, the solomon mark schemes are very breath, and i initially tried to use the double angle formulas to get rid of all the 2x and 3x's. But that just leaves me with a mixture of sin(x) and cos(x)

Help would be appreciated
Original post by joe1545
Okay so the question is integrate 2sin(3x)sin(2x)

question 6a from this solomon paper a: mark shceme:

http://papers.xtremepapers.com/Edexcel/Advanced%20Level/Mathematics/Subject%20Sorted/C4/Solomon/Solomon%20A%20MS.pdf

It just doesnt make sense, the solomon mark schemes are very breath, and i initially tried to use the double angle formulas to get rid of all the 2x and 3x's. But that just leaves me with a mixture of sin(x) and cos(x)

Help would be appreciated


Use factor formulae to rewrite it, that'll make it much easier.
Original post by joe1545
Okay so the question is integrate 2sin(3x)sin(2x)

question 6a from this solomon paper a: mark shceme:

http://papers.xtremepapers.com/Edexcel/Advanced%20Level/Mathematics/Subject%20Sorted/C4/Solomon/Solomon%20A%20MS.pdf

It just doesnt make sense, the solomon mark schemes are very breath, and i initially tried to use the double angle formulas to get rid of all the 2x and 3x's. But that just leaves me with a mixture of sin(x) and cos(x)

Help would be appreciated


Factor theorem 2sinXsinY=cos(X+Y)+cos(XY)2\sin X\sin Y=\cos(X+Y)+\cos(X-Y)

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