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nubeer

  • 4 years ago

integral (cosx/((cosx)^3)+(sinx)^0.5))

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  1. Sarah.L
    • 4 years ago
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    is it\[\sin x^{\frac{1}{2}} \]OR\[(sinx)^{\frac{1}{2}}\] because i tried to integrate the first one worked with me, the other one didnt

  2. Sarah.L
    • 4 years ago
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    whats that E :O

  3. nubeer
    • 4 years ago
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    (sinx)^1/2

  4. nubeer
    • 4 years ago
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    \[\sqrt{sinx}\]

  5. Mr.Math
    • 4 years ago
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    Integral of \[\sqrt{\sin x}\] can't be expressed in terms of elementary functions.

  6. nubeer
    • 4 years ago
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    so what is suppose to be done with this question?

  7. Mr.Math
    • 4 years ago
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    The first term is very easy. It's nothing but \[\int\limits_{}^{}\sec^2x=\tan x.\] As for the second term you can write that it can't be written in terms of the functions you're familiar with. Its integration is just another integration. (Read the definition of the Elliptic Integral in the link above.)

  8. nikvist
    • 4 years ago
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    \[\int\frac{\cos{x}}{\cos^3{x}+\sqrt{sin{x}}}dx\quad\mbox{is that problem?}\]

  9. Sarah.L
    • 4 years ago
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    oh that makes sense ^

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