Calculating Integral of x^2-2x e^-x dx

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SUMMARY

The integral of the function (x^2 - 2x)e^-x dx can be efficiently calculated using integration by parts. While the professor did not demonstrate the steps, the consensus in the discussion confirms that applying integration by parts twice is the most effective method. Euler's number (e) is a fundamental constant in this context, representing the base of the natural logarithm. Understanding this integral is crucial for mastering techniques in calculus.

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  • Integration by parts technique
  • Understanding of exponential functions, specifically e^-x
  • Basic calculus concepts, including integrals and derivatives
  • Familiarity with Euler's number (e)
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  • Explore advanced techniques in integral calculus
  • Learn about the properties of Euler's number (e) in calculus
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mattibo
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integral (x^2 - 2x) e^-x dx

Im just wondering if there's a fast way to calculate this integral or is the only way to do it by parts twice. The prof didnt show any work in the solution and went right to the solution. Am I missing something obvious?
 
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what is E?
 
sutupidmath said:
what is E?

eulers number (e)
 
I think your plan of using integration by parts is the way to go.
 

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