King's Principle is less than ideal on this one
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practice integrals with King's principle:
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Rewrite the top as sin^2 = 1/2 times sin^2+cos^2+sin^2-cos^2 and you would have ended up in essentially the same place.
ah I think I see: you get the 1 from the sin^2 + cos^2 and then difference of 2 squares (sin + cos)(sin - cos) gives the cancellation so that part is very simple integrals.
Marvelous Solution
Pretty cool solution, good job man ))
thanks!
It might have taken a little longer, but it presented some good exercises, at least for me.
Right indeed. Although I don't think I ever got around to doing it another way but still I think there's probably a quicker way.