Solving Difficult Integrals with WolframAlpha

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SUMMARY

The discussion focuses on solving difficult integrals using WolframAlpha, specifically the integral of 1/(x*sqrt(1-x^2)). Users inquire about the necessity of applying both the quotient rule and the product rule in tandem, as well as the correct order of application. It is confirmed that WolframAlpha provides a "show steps" feature that illustrates the solution process, aiding users in understanding the integration techniques involved.

PREREQUISITES
  • Understanding of integral calculus
  • Familiarity with the quotient rule in differentiation
  • Knowledge of the product rule in differentiation
  • Basic usage of WolframAlpha for mathematical computations
NEXT STEPS
  • Explore the "show steps" feature on WolframAlpha for various integrals
  • Study the application of the quotient rule in calculus
  • Learn about the product rule and its integration techniques
  • Investigate advanced integration methods, such as substitution and integration by parts
USEFUL FOR

Students, educators, and mathematicians seeking to enhance their understanding of integral calculus and those looking to utilize WolframAlpha for solving complex integrals.

Ry122
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How did wolframalpha get this solution?

Is it necessary to use the quotient rule and the product rule together?
If so, in which order do i apply them?

http://www.wolframalpha.com/input/?i=integral+1%2F%28x*sqrt%281-x^2%29%29
 
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Ry122 said:
How did wolframalpha get this solution?

Is it necessary to use the quotient rule and the product rule together?
If so, in which order do i apply them?

http://www.wolframalpha.com/input/?i=integral+1%2F%28x*sqrt%281-x^2%29%29
If you notice, there is a show steps link on the right hand side, just below the entry text box.
 

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