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MarcLeclair

  • 3 years ago

Help with the following integral: ∫(from 0 to pi/2) sin^2(x) cos^2(x) sorry I don't really know how to write integrals down on the computer :/

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  1. MarcLeclair
    • 3 years ago
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    I got to this point : sin^2(x) (1+cos^(x) /2 )

  2. experimentX
    • 3 years ago
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    change that into sin2x

  3. MarcLeclair
    • 3 years ago
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    Well I can get 1/2 sin2x with (sinxcosx)^2 would that work?

  4. experimentX
    • 3 years ago
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    no ... there is square again.

  5. MarcLeclair
    • 3 years ago
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    but (sinxcosx)^2 = (1/2sin2x)^2 = 1/4(sin^2(2x))?

  6. experimentX
    • 3 years ago
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    yes ... but still that will not work. there is square ... but we can change it into cos4x

  7. MarcLeclair
    • 3 years ago
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    Yeah I see it.. using basic trig! thanks :)

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