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anonymous

  • 5 years ago

∫[x(3x^2-2)^10,x]

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  1. anonymous
    • 5 years ago
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    Anyone?

  2. anonymous
    • 5 years ago
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    After 10 there is a comma x what is that?

  3. anonymous
    • 5 years ago
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    its the integral with respect to x the , x is the Dx

  4. anonymous
    • 5 years ago
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    Are you familiar with u sub?

  5. anonymous
    • 5 years ago
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    yes i subed and got ( 3x^2-2)^10/66)

  6. anonymous
    • 5 years ago
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    but it doesnt look right i think

  7. anonymous
    • 5 years ago
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    I don't know how you would get that, but for your u -- your the derivative of your u should be available in the question. And u is usually in the bracket or under the radical or in the denominator something like that.

  8. anonymous
    • 5 years ago
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    ( 3x^2-2)^11)/(66) *

  9. anonymous
    • 5 years ago
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    or ( u)^11/66) without re subing

  10. anonymous
    • 5 years ago
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    Oh yeah, I wasn't looking that far ahead.

  11. anonymous
    • 5 years ago
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    \[\int\limits x(3x^2-2)^{10}dx \rightarrow u=3x^2-2, du=6xdx, \frac{du}{6x}=dx\] \[\int\limits \frac{x(u)^{10}}{6x}du \rightarrow \frac{1}{6} \int\limits (u)^{10}du \rightarrow \frac{1}{66} u^{11}+c \rightarrow \frac{1}{66} (3x^2-2)^{11}+c\]

  12. anonymous
    • 5 years ago
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    coo then its right then

  13. anonymous
    • 5 years ago
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    thank you both

  14. anonymous
    • 5 years ago
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    sure thing

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spraguer (Moderator)
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