Help with Integration Problem: Explicit Calculation Guide | PhysicsFans.org

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In summary, an integration problem involves finding the area under a curve using calculus and is commonly used in physics, engineering, and economics. There are various methods for solving integration problems, including the fundamental theorem of calculus, integration by substitution, integration by parts, and numerical methods. The method chosen depends on the complexity of the problem and the solver's familiarity with the techniques. Definite integration gives a specific numerical value for the area under the curve, while indefinite integration finds a general solution without specific limits. Integration problems can have multiple solutions, so it is important to check the answer for consistency with the problem and any constraints.
  • #1
cosmology
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who can help me?how to derive (1)
please show me explict calculation
http://www.physicsfans.org/attachments/month_0706/20070608_115b22fb8b269180c1c7QsOB3UoXbLLO.gif
 
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  • #2
Nobody's going to do your work for you. The guidlines of this forum state that you need to show some work before you get help.
 
  • #3
This integral isn't tough, its just bloody long! For the inner integral:

[tex]\frac{a-b}{c}ln(\frac{b+c-cx_2}{b})-\frac{a}{c}x_2[/tex]

Here, [tex]a=1-x_2[/tex]

[tex] b=\lambda^2(1-x_2)[/tex][tex]c=q^2x_2-\lambda^2[/tex].

For the second integral, you're on your own mate... good luck.
 

1. What is an integration problem?

An integration problem is a type of mathematical problem that involves finding the area under a curve using calculus. It is often used to solve real-world problems in areas such as physics, engineering, and economics.

2. What are the different methods for solving an integration problem?

There are several methods for solving integration problems, including the fundamental theorem of calculus, integration by substitution, integration by parts, and numerical methods such as the trapezoidal rule and Simpson's rule.

3. How do I know which method to use for a particular integration problem?

The method you choose will depend on the complexity of the problem and your familiarity with the different techniques. It is best to try out different methods and see which one works best for the given problem.

4. What is the difference between definite and indefinite integration?

Definite integration involves finding the exact numerical value of the area under a curve between two given values, while indefinite integration involves finding a general solution for the integral without specific limits.

5. Can integration problems have multiple solutions?

Yes, integration problems can have multiple solutions, especially when using numerical methods. It is important to check your answer and make sure it is consistent with the problem and any given constraints.

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