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Whimsical

  • 2 years ago

how do you integrate (sin(x))^2 without using the trigo identity cos(2x)=1-2(sin(x))^2

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  1. Aamal
    • 2 years ago
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    can we there use anyother trigo identity

  2. Whimsical
    • 2 years ago
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    erm... u cant use any trigo identity or integrating it by parts

  3. Aamal
    • 2 years ago
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    yeah integraion by parts give our result

  4. brinethery
    • 2 years ago
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    Maybe U-substitution for this one?

  5. Whimsical
    • 2 years ago
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    is it impossible to integrate this without using trigo identity or intergration by parts? can we use chain rule and integrate it into \[-1/3\cos^3(x)\]

  6. brinethery
    • 2 years ago
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    http://youtu.be/qclrs-1rpKI?t=3m32s

  7. Whimsical
    • 2 years ago
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    ok i understand now thankyou

  8. brinethery
    • 2 years ago
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    You can also use the good ol' table of integrals but I'm sure your teacher doesn't want that. http://integral-table.com/integral-table.html#SECTION00007000000000000000

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