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Integration Mechanics

Sir Red of the MantiSir Red of the Manti Registered User regular
in Help / Advice Forum
So I'm working away at an assignment, and I run into a question that looks like this:
Integrate (dx / (x + x^(1/3))) dx
My question is, is this a typo, or is there actually a way to integrate an expression that features dx twice like this?

Sir Red of the Manti on
Spoiler:
• Agree Awesome

Posts

  • Dunadan019Dunadan019 Registered User regular
    its most likely a typo and meant to be dy/(x + x^(1/3)) dx

    Mental midgets kill my inner child.
    • Agree Awesome
  • Dunadan019Dunadan019 Registered User regular
    wait, is this question dx/((x + x^(1/3))) dx) or as you wrote it?

    cause if its as you wrote it then its just a double integral.

    you pull out the dx from the fraction so that you have (1 / (x + x^(1/3))) dx dx and integrate twice wrt x to get rid of them both.

    Mental midgets kill my inner child.
    • Agree Awesome
  • Sir Red of the MantiSir Red of the Manti Registered User regular
    Dunadan019 wrote: »
    wait, is this question dx/((x + x^(1/3))) dx) or as you wrote it?

    cause if its as you wrote it then its just a double integral.

    you pull out the dx from the fraction so that you have (1 / (x + x^(1/3))) dx dx and integrate twice wrt x to get rid of them both.

    It was as I wrote it (not a typo apparently), and thanks to this advice I managed to solve the thing finally, finishing a 33 page assignment in the process.

    Spoiler:
    • Agree Awesome
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