anonymous
  • anonymous
"First make a substitution, then use integration by parts to evaluate the integral of 6sin(sqrt(x))dx." The only thing I can think of to sub is the sqrt(x) but then my dx is weird and I don't know where to go... help please?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
here is my guess, but i hate these \[u=\sqrt{x}\] \[du=\frac{dx}{2\sqrt{x}}\] \[2\sqrt{x}du=dx\]\[2udu=dx\]
anonymous
  • anonymous
then integrate \[12\int u\sin(u)du\] by parts
anonymous
  • anonymous
oh right you can sub the u back in for the sqrt(x), i remember doing it in class now, thank you so much

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anonymous
  • anonymous
the hint was "parts" otherwise i am sure i would not have guessed without it
anonymous
  • anonymous
since \(x\sin(x)\) is a set up for parts yw

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