Can't integrate this function.

Thread starter Redoctober
Start date Oct 21, 2012
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Function Integrate

In summary, there are several reasons why a function may not be integrable, including being non-continuous or non-differentiable, lacking a closed-form solution, or being too complex for traditional methods. However, there are alternative methods such as numerical integration, series expansions, or specialized software that can be used. It is important to note that these methods may introduce some error. To determine if a function is integrable, it must be continuous and differentiable in the given interval and have a closed-form solution for its integral. Alternatively, specialized software or algorithms can be used to numerically integrate a function, but it is important to be aware of potential limitations and errors.

Oct 21, 2012

Redoctober

How do i integrate this ?

∫ (x/(x+2)) .dx

Any idea ?

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Oct 21, 2012

slider142

Try using a substitution. The immediate problem is dividing by x + 2, so try u = x + 2.
An alternative solution is to use polynomial division to simplify the fraction. It is a good idea to be familiar with both techniques for more advanced problems.

Oct 21, 2012

Redoctober

Thanks a lot :D !

1. Why can't I integrate this function?

There could be several reasons why a function cannot be integrated. It could be because the function is not continuous or differentiable, there is no closed-form solution for the integral, or the function is too complex to be integrated using traditional methods.

2. Is there an alternative method for integrating this function?

Yes, there are alternative methods for integrating functions that cannot be integrated using traditional methods. Some examples include numerical integration, series expansions, or using specialized software or algorithms.

3. Can I approximate the integral of this function?

Yes, you can approximate the integral of a function using numerical methods such as the trapezoidal rule, Simpson's rule, or the Monte Carlo method. However, keep in mind that these approximations may not be exact and could introduce some error.

4. How do I know if a function is integrable?

A function is integrable if it is continuous and differentiable in the given interval. Additionally, if the function has a closed-form solution for its integral, then it is also considered to be integrable. However, some functions may not have a closed-form solution and may still be integrable using alternative methods.

5. Can I use a computer to integrate this function?

Yes, you can use specialized software or algorithms to numerically integrate a function. These methods can handle more complex functions and provide accurate results. However, it is important to understand the limitations and potential errors of numerical integration.