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Polar integration Watch

1. Just trying to get my head round how limits work on polar integration!

(Drawing isnt great!)

But basically, if both the above were in polar form, so like the line is

and the curve was
and the curve cut the axis at

To find the blue area, would the limits of

give the blue area or blue and orange?
2. (Original post by NiceToMeetYou)
Just trying to get my head round how limits work on polar integration!

(Drawing isnt great!)

But basically, if both the above were in polar form, so like the line is
More like

and the curve was
and the curve cut the axis at
At I think you mean

To find the blue area, would the limits of

give the blue area or blue and orange?

gives the area in blue.
3. (Original post by ghostwalker)
More like

At I think you mean

gives the area in blue.
Is there an explanation as to why, obviously with cartesian coordinates integrating between the axis and intersect would give blue and orange

Posted from TSR Mobile
4. (Original post by NiceToMeetYou)
Is there an explanation as to why, obviously with cartesian coordinates integrating between the axis and intersect would give blue and orange

Posted from TSR Mobile
It should be in your textbook.

The intgral gives the area defined by the two values of theta and from the origin to the curve.

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Updated: April 19, 2013
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