Find the value of the iterated integral

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SUMMARY

The discussion focuses on solving an iterated integral by changing the order of integration. Users are encouraged to present their progress to facilitate effective assistance. A specific suggestion is made to integrate the function \( f_x(x, y) \) with respect to \( x \), leading to the function \( f(x, y) \). This approach is essential for obtaining the exact form of the integral value.

PREREQUISITES
  • Understanding of iterated integrals
  • Knowledge of changing the order of integration
  • Familiarity with functions of multiple variables
  • Basic calculus concepts, including integration techniques
NEXT STEPS
  • Study techniques for changing the order of integration in double integrals
  • Learn about the properties of functions of multiple variables
  • Practice solving iterated integrals with different functions
  • Explore advanced integration techniques, such as Fubini's Theorem
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Students and educators in calculus, mathematicians working with multivariable functions, and anyone seeking to improve their skills in solving iterated integrals.

erikgelfat
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Give your answer in exact form.

Format ±X/Y
± is if the value is positive or negative (Duh)
X is the numerator (e.g. 7)
Y is the denominator (e.g. 11)

the question:

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Hello and welcome to MHB! :D

We ask that our users show their progress (work thus far or thoughts on how to begin) when posting questions. This way our helpers can see where you are stuck or may be going astray and will be able to post the best help possible without potentially making a suggestion which you have already tried, which would waste your time and that of the helper.

Can you post what you have done so far?
 
A suggestion- the integral of $f_x(x, y)$ with respect to x is f(x, y) so change the order of integration!
 

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