Power rule of an integration [beginner]

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SUMMARY

The discussion centers on the application of the power rule in integration, specifically for the integral ∫1/(x^4) dx. The correct application of the power rule yields the result -1/(3x^3) after rewriting the integrand as x^-4. Participants confirm that using the power rule simplifies the integration process, leading to a clear understanding of the solution.

PREREQUISITES
  • Understanding of basic calculus concepts
  • Familiarity with integration techniques
  • Knowledge of the power rule for integration
  • Ability to manipulate algebraic expressions
NEXT STEPS
  • Study the power rule of integration in detail
  • Practice integrating various functions using the power rule
  • Explore common integration techniques beyond the power rule
  • Learn about improper integrals and their applications
USEFUL FOR

Students learning calculus, educators teaching integration techniques, and anyone seeking to strengthen their understanding of the power rule in integration.

Jordy
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So I stumbled upon ∫1/(x^4) , and by applying the power rule , the answer is: -1/(3x^3)

Why's that? Sorry for bothering you guys with such a beginner question!
 
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Write the fraction as x^-4, and apply the power rule and you will quickly see why that is the answer!
 
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romsofia said:
Write the fraction as x^-4, and apply the power rule and you will quickly see why that is the answer!
Man how didn't I see that! Thanks!
 

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