Communities

The Great Outdoors

Photography & Video

Scientific Speculation

Electrical Engineering

Languages & Linguistics

Software Development

Community Proposals

tag:snake search within a tag

answers:0 unanswered questions

user:xxxx search by author id

score:0.5 posts with 0.5+ score

"snake oil" exact phrase

votes:4 posts with 4+ votes

created:<1w created < 1 week ago

post_type:xxxx type of post

Notifications

Mark all as read See all your notifications »

Review Suggested Edit

You can't approve or reject suggested edits because you haven't yet earned the Edit Posts ability.

Find limits of integration in polar coordinates

Suppose we have this graph and we want to find the area between the 2 curves:
![hi](https://math.codidact.com/uploads/xum62GPERZqYiqMuiVmgLAq1).
We can calculate the are using a double integral:
~~![hi](https://math.codidact.com/uploads/axR3bn8H6att46y116XAXeUT)~~
~~![hi](https://math.codidact.com/uploads/yk94caT3ihKQs4P9nCVwGWhb)~~
In polar coordinates the equation of the curves take this form:
~~![a](https://math.codidact.com/uploads/odkFguKn7CnqsyLG3QMDFBvY)~~
and
~~![a](https://math.codidact.com/uploads/u7BqhyH2viMsy5AZHBoquKEC)~~
How do I find the limits of integration of the angle theta?

Suppose we have this graph and we want to find the area between the 2 curves:
![hi](https://math.codidact.com/uploads/xum62GPERZqYiqMuiVmgLAq1).
We can calculate the are using a double integral:
![graph](https://math.codidact.com/uploads/axR3bn8H6att46y116XAXeUT)
![equation](https://math.codidact.com/uploads/yk94caT3ihKQs4P9nCVwGWhb)
In polar coordinates the equation of the curves take this form:
![equation](https://math.codidact.com/uploads/odkFguKn7CnqsyLG3QMDFBvY)
and
![equation](https://math.codidact.com/uploads/u7BqhyH2viMsy5AZHBoquKEC)
How do I find the limits of integration of the angle theta?

calculus double-integrals polar

calculus double-integrals polar