Sunday, 13 January 2013

integration - distribution of constants over integrals

I'm seeing this as part of a proof for the reduction formula and I see this:



enter image description here




So am I correct for saying that if you multiply the sinn2x by (1sin2x), you get sinn2xsinnx and so the (n1)sinn2xcos2x becomes what is shown below? is that right? Generally, ab=ab right? That integral rule is visually intuitive right?

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