Can this tricky integral be solved in general?

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  • #1
Muppetmaster
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[itex]\pi[\int \right[ \frac{\sqrt{x^2+1}}{x^4+sin(x)^2}\left]\;dx [/itex]

Is this soluble generally?
 
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  • #2
Probably not.
 
  • #3
hamster143 said:
Probably not.

Taylor series it is then.

It's easy to make into a series of partial fractions.
 
  • #4
http://www.wolframalpha.com/input/?i=\int+sqrt(x^2%2B1)%2F(x^4%2Bsin(x)^2)+dx+
 

FAQ: Can this tricky integral be solved in general?

What is a tricky integral?

A tricky integral is an integral that is difficult to solve using traditional methods. It may involve complex functions, multiple variables, or special techniques such as integration by parts or substitution.

Why are tricky integrals important?

Tricky integrals arise in many areas of science and engineering, and being able to solve them is crucial for making accurate calculations and predictions. They also provide valuable insights into the behavior of functions and can lead to new discoveries.

What are some strategies for solving tricky integrals?

Some common strategies for solving tricky integrals include using integration by parts, substitution, partial fractions, and trigonometric identities. It is also important to have a good understanding of the properties of integrals and how to manipulate them.

What are some common mistakes to avoid when solving tricky integrals?

One common mistake when solving tricky integrals is forgetting to use the correct limits of integration or not properly accounting for constants. It is also important to carefully check the algebra and make sure all steps are correct. Another mistake is relying too heavily on memorized formulas without understanding the underlying concepts.

How can I improve my skills in solving tricky integrals?

Practice is key to improving your skills in solving tricky integrals. You can also read textbooks and online resources to learn about different techniques and strategies. It can also be helpful to work with a tutor or study group to discuss and solve challenging integrals together.

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