S4.13.t.71 Angles of triangle PQR

  • Context: MHB 
  • Thread starter Thread starter karush
  • Start date Start date
  • Tags Tags
    Angles Triangle
Click For Summary
SUMMARY

The forum discussion centers on the integration of the function \( f(x,y) \) over a specified region defined by the double integral \(\displaystyle\int_{-2}^{2}\int_{\sqrt{4-y^2}}^{4-y^2} f(x,y)\,dx \,dy\). A user initially presented an incorrect integral due to a typographical error, which was later corrected to include the proper limits of integration. The conversation also touches on the use of Desmos for visualizing the region of integration, with users discussing how to shade the area accurately.

PREREQUISITES
  • Understanding of double integrals in calculus
  • Familiarity with the Desmos graphing tool
  • Knowledge of the Cartesian coordinate system
  • Basic skills in identifying regions of integration
NEXT STEPS
  • Explore advanced techniques for visualizing integrals using Desmos
  • Learn about the properties of double integrals in multivariable calculus
  • Study the application of integration in calculating areas between curves
  • Investigate common typographical errors in mathematical expressions and their corrections
USEFUL FOR

Students and educators in calculus, mathematicians working with multivariable functions, and anyone interested in mastering the visualization of integration regions using graphing tools like Desmos.

karush
Gold Member
MHB
Messages
3,240
Reaction score
5
232.q1.4a sketch the region of integration

$\displaystyle\int_{-2}^{2}\int_{\sqrt{4y^2}}^{4-y^2}
f(x,y)\,dx \,dy$

this is what i did with desmos don't know how
to shade the integrated area
if the it is even correct😎
View attachment 7263
 

Attachments

  • Capture+_2017-09-03-10-47-08.png
    Capture+_2017-09-03-10-47-08.png
    20.7 KB · Views: 121
Physics news on Phys.org

Attachments

  • karush_s4-3-t-71.png
    karush_s4-3-t-71.png
    12.3 KB · Views: 118
Re: s4.13.t.71 angles of triangle PQR

sorry your correct
but there was a typo in the OP
it should of been
$\displaystyle\int_{-2}^{2}\int_{\sqrt{4-y^2}}^{4-y^2}
f(x,y)\,dx \,dy$

minus sign missing😰

how did you fill with red ... paint??
 
Last edited:

Similar threads

  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 20 ·
Replies
20
Views
4K
  • · Replies 29 ·
Replies
29
Views
5K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 14 ·
Replies
14
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 2 ·
Replies
2
Views
9K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 12 ·
Replies
12
Views
3K