Can Matlab Solve Improper Integrals?

In summary, Matlab is a high-level programming language and interactive environment commonly used in scientific computing. It has built-in functions for evaluating improper integrals using numerical methods such as the trapezoidal rule, Simpson's rule, and Gaussian quadrature. Matlab can handle both finite and infinite limits and allows users to specify the desired accuracy. While it is possible to symbolically evaluate improper integrals in Matlab, it may not always be accurate for complex or non-elementary integrands. Additionally, users can plot the graph of an improper integral in Matlab to visualize its convergence or divergence as the limits approach infinity.
  • #1
eahaidar
71
1
Hello everyone I need to ask a tough question I have an integral I should plot in 3d from minus infinite to plus infinite it is known that this integral is hard but can be solved numerically I need it in MATLAB is it possible? Thank you
 
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  • #2
Yes, it is possible.
 
  • #3
Can u tell me how?? Please and thank you happy new year
 
  • #4
I have no idea what integral you're trying to solve, so it's hard to do anything!
 
  • #5
It is alright thank you
 

FAQ: Can Matlab Solve Improper Integrals?

1. What is Matlab and how is it used in evaluating improper integrals?

Matlab is a high-level programming language and interactive environment commonly used in scientific computing. It has built-in functions that can evaluate improper integrals by using numerical methods such as the trapezoidal rule, Simpson's rule, and Gaussian quadrature.

2. Can Matlab handle both finite and infinite limits in improper integrals?

Yes, Matlab has the ability to handle both finite and infinite limits in improper integrals. It uses different numerical methods depending on the type of limit, such as the adaptive Simpson's rule for integrals with infinite limits.

3. How accurate are the results of improper integrals in Matlab?

The accuracy of the results depends on the numerical method used and the user-defined tolerance. Matlab allows users to specify the desired tolerance, and the more iterations performed, the more accurate the result will be.

4. Is it possible to symbolically evaluate improper integrals in Matlab?

Yes, Matlab has a symbolic math toolbox that allows for symbolic integration. However, this feature may not always be accurate for complex or non-elementary integrands.

5. Can I plot the graph of an improper integral in Matlab?

Yes, Matlab allows users to plot the graph of an improper integral using the "plot" function. This can be useful in visualizing the convergence or divergence of the integral as the limits approach infinity.

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