apple_pi

integrate sin^3(x).

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apple_pi

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How to?

lgbasallote

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\[\int \sin^3 x dx \implies \int (\sin^2 x)\sin x dx \implies \int (1 - \cos^2 x)\sin x dx\]
\[\implies \int (\sin x -\sin x \cos^2 x) dx\]
do you see it now?

apple_pi

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Oh, ok I know where to go from here.

apple_pi

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Thanks

lgbasallote

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wonderful ^_^

lgbasallote

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welcome

sami-21

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why not try this one !!!!!
\[\Large \sin^3(x)=\frac{1}{4}(3\sin(x)-\sin(3x))\]
everything is Linear !!!

lgbasallote

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lol :P

apple_pi

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How'd you get that?

lgbasallote

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im thinking that's trig identity

sami-21

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yes it is trigonometric identity :)

apple_pi

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Cool