I forgot how to do this integration Help

  • Thread starter Karmerlo
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    Integration
In summary, the conversation is about solving a specific integration problem through different methods. One person suggests using the Trigonometric Method, while another suggests using a different method involving a substitution. The conversation ends with a suggestion to take the derivative and try reversing the process, and another suggestion to use a different substitution.
  • #1
Karmerlo
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Homework Statement



Do the integration

Homework Equations



14w9isp.jpg


The Attempt at a Solution



I forgot how to do this integration with another method. I think I can do it through Trigonometric Method. But I remember that there is still another way to do it without using Trigonometric Method. Anyone can show me steps to do it? Thanks.
 
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  • #2
Well, for the trig method you would use the substitution let x = ytan(u)
If that gets you the right answer then why bother with another method. I can't think of a different method right now that would work.
 
  • #3
Take the derivative of [itex]\displaystyle \frac{x}{y^2\sqrt{x^2+y^2}}\,,[/itex] treating y as a constant, of course. Then see if you can reverse the process.
 
  • #4
Try a substitution [itex] x=y \sinh t [/itex]. The resulting integration will be trivial.
 

FAQ: I forgot how to do this integration Help

1. How can I remember how to do integrations?

The best way to remember how to do integrations is to practice regularly and review your notes or textbooks. Another helpful tip is to break down the problem into smaller, more manageable steps.

2. What should I do if I forgot a specific integration rule?

If you forgot a specific integration rule, you can look it up in a reference book or online. It is also helpful to write down important rules and formulas in a study guide to refer to when needed.

3. How can I improve my integration skills?

To improve your integration skills, make sure you have a solid understanding of the fundamental concepts and practice regularly. You can also seek help from a tutor or attend study groups with other students.

4. What are some common mistakes to avoid when doing integrations?

Some common mistakes to avoid when doing integrations include forgetting to use the correct integration formula, making algebraic errors, and not checking your work for accuracy. It is also important to carefully read the problem and understand what is being asked.

5. Is it normal to forget how to do integrations?

It is normal to forget how to do integrations, especially if you haven't practiced in a while. However, with consistent practice and review, you can improve your skills and retain the knowledge for longer periods of time.

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