anonymous
  • anonymous
∫[x(3x^2-2)^10,x]
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Anyone?
anonymous
  • anonymous
After 10 there is a comma x what is that?
anonymous
  • anonymous
its the integral with respect to x the , x is the Dx

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anonymous
  • anonymous
Are you familiar with u sub?
anonymous
  • anonymous
yes i subed and got ( 3x^2-2)^10/66)
anonymous
  • anonymous
but it doesnt look right i think
anonymous
  • anonymous
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.
anonymous
  • anonymous
( 3x^2-2)^11)/(66) *
anonymous
  • anonymous
or ( u)^11/66) without re subing
anonymous
  • anonymous
Oh yeah, I wasn't looking that far ahead.
anonymous
  • anonymous
\[\int\limits x(3x^2-2)^{10}dx \rightarrow u=3x^2-2, du=6xdx, \frac{du}{6x}=dx\] \[\int\limits \frac{x(u)^{10}}{6x}du \rightarrow \frac{1}{6} \int\limits (u)^{10}du \rightarrow \frac{1}{66} u^{11}+c \rightarrow \frac{1}{66} (3x^2-2)^{11}+c\]
anonymous
  • anonymous
coo then its right then
anonymous
  • anonymous
thank you both
anonymous
  • anonymous
sure thing

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