Approximate Integral Using Midpoint Rule

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    Approximate Integral
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SUMMARY

The discussion focuses on solving an approximate integral using the Midpoint Rule in calculus. The participant shared their approach and received confirmation that their method was correct, with Wolfram Alpha (W|A) validating their numerical result. The Midpoint Rule is confirmed as an effective technique for approximating definite integrals.

PREREQUISITES
  • Understanding of calculus concepts, specifically integration.
  • Familiarity with the Midpoint Rule for numerical integration.
  • Basic proficiency in using computational tools like Wolfram Alpha (W|A).
  • Knowledge of how to interpret numerical results from mathematical methods.
NEXT STEPS
  • Study the derivation and applications of the Midpoint Rule in numerical analysis.
  • Explore other numerical integration techniques such as Trapezoidal Rule and Simpson's Rule.
  • Learn how to use Wolfram Alpha for verifying mathematical calculations.
  • Investigate error analysis in numerical integration methods.
USEFUL FOR

Students and educators in mathematics, particularly those studying calculus and numerical methods, as well as anyone looking to improve their skills in approximating integrals.

akbarali
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Here is a problem I was having difficulty with. Took me forever just to figure out how to solve (because I stink at Calc).

5f24c3.jpg

14mq80j.png


Here is my work:

260d4hw.png

2w32tj8.jpg


Does this look okay? What do you think of the approach?
 
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Re: Intervals

Yes, that looks good. W|A agrees with your number, and your method looks perfect.
 

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