Solve Integral Problem: Tips & Ideas

  • Thread starter calum.g
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    Integral
Let W = \sqrt{E} \sin{\theta}. This should simplify the integral and make it easier to solve. Another approach could be using partial fractions to break up the fraction and then integrating each term separately. In summary, the conversation is about solving a difficult integral using cunning tricks or ideas, and the suggestion is to try a trig substitution or partial fractions.
  • #1
calum.g
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Homework Statement



im trying to solve this integral, though it is solvable using mathematica the solution is horrible. wondered if anyone has any cunning tricks or ideas

Homework Equations



integral between [tex]\int_{-\sqrt{E}}^\sqrt{E} \frac{\sqrt{E-W^2}}{BW^2+a}\,dW = n \pi[/tex]
 
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  • #2
what are you solving for? n in terms of the other values?
 
  • #3
E in terms of n
 
  • #4
I fixed your LaTeX.
calum.g said:

Homework Statement



im trying to solve this integral, though it is solvable using mathematica the solution is horrible. wondered if anyone has any cunning tricks or ideas


Homework Equations



integral between [tex]\int_{-\sqrt{E}}^{\sqrt{E}} \frac{\sqrt{E-W^2}}{BW^2+a}\,dW = n \pi[/tex]

I would probably start with a trig substitution.
 

FAQ: Solve Integral Problem: Tips & Ideas

What is an integral problem?

An integral problem involves finding the area under a curve in a given interval using integration techniques. It is a fundamental concept in calculus and is used to solve a variety of mathematical and scientific problems.

How do I solve an integral problem?

To solve an integral problem, you need to use integration techniques such as substitution, integration by parts, or partial fraction decomposition. It is also important to understand the properties of integrals and how to apply them correctly.

What are some tips for solving an integral problem?

Some tips for solving an integral problem include: understanding the problem and identifying the given interval, choosing the appropriate integration technique, carefully evaluating the integral using the correct properties and rules, and checking your answer for accuracy.

Can I use a calculator to solve an integral problem?

Yes, you can use a graphing calculator or a computer program to solve an integral problem. However, it is important to have a good understanding of the concepts and techniques involved in solving integrals before relying solely on a calculator.

How can I check my answer for an integral problem?

You can check your answer for an integral problem by differentiating your solution and ensuring that it matches the original function. You can also use a graphing calculator or graphing software to visually check your answer by comparing the area under the curve to the given interval.

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