Solving a Tricky Integration Problem: Physics Forum's First-Timer's Attempt

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SUMMARY

The discussion centers on a challenging integral problem presented by a newcomer, Tom, on the Physics Forums. The integral in question is ^{\frac{\pi}{2}}_{0}\int3^{sinx}dx, which cannot be solved using standard calculus techniques. Forum member LCKurtz suggests employing numerical approximation methods, specifically Simpson's rule, to tackle the problem. Tom expresses interest in exploring advanced techniques beyond calculus for potential solutions.

PREREQUISITES
  • Understanding of integral calculus
  • Familiarity with numerical approximation methods
  • Knowledge of Simpson's rule for numerical integration
  • Basic concepts of advanced mathematical techniques
NEXT STEPS
  • Research numerical integration techniques, focusing on Simpson's rule
  • Explore advanced mathematical methods beyond calculus, such as series expansion
  • Learn about numerical analysis tools and software for solving integrals
  • Investigate alternative integration techniques like Monte Carlo integration
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This discussion is beneficial for students and enthusiasts in mathematics, particularly those interested in integral calculus and numerical methods for solving complex integrals.

Tom P
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Hi Physics Forums,

I'm new here, this is my first post here.

I have found this question in an old textbook, after a few hours of trying to solve it I get to a dead end and I have no idea about where to go from there. I am not sure whether I'm missing something simple, or if this could be a really mean question :) So here goes...

1. [itex]^{\frac{\pi}{2}}_{0}[/itex][itex]\int3^{sinx}[/itex]dx

Ive attached my attempt so far, I haven't quite got the idea of the posting buttons.

Thank-you so much for your time, I really appreciate it!

Thanks

Tom
 

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Hello Tom, welcome to PF. There is no way that integral can be worked with usual techniques you would learn in calculus. You could always approximate it numerically with, for example, Simpson's rule.
 
Hi

Thanks for such a prompt reply LCKurtz.

Ok then, maybe I shall go onto a new question :)

Just out of interest if we used techniques beyond calculus, how would it be solved?

Thanks so much for all your help,

Tom
 

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