The integral of the log of theta is data log theta minus data. R^2 = \sin 2 \theta $. Find the area of the shaded region. A = integral from a to b 1/2r^2dθ. Natural log of two pi minus pi plus one half. And your are is the natural log.
Here is a picture: Thank you for the help. Feedback from students. Crop a question and search for answer. Check the full answer on App Gauthmath. To B. R. Squared D. Theta. Therefore, we have that noticing that if we treat our as a function of theater, we see that seems Article two squared if data dysfunction is always greater than or equal to zero and therefore is a positive function except for at the end points of zero and two pi. Gauthmath helper for Chrome. So you've got 1/2 wanted to pi square root of the natural log of data squared. And we also have that f is. We were asked to find the area of this region. So you end up with pie. Enter your parent or guardian's email address: Already have an account? Still have questions? 1/2 times 1/2 data squared that I read it.
Get 5 free video unlocks on our app with code GOMOBILE. Provide step-by-step explanations. Okay to find an area in polar coordinates? Solved by verified expert. R = \sqrt{\ln \theta} $, $ \; 1 \leqslant \theta \leqslant 2\pi $. We solved the question!
Good Question ( 108). Zero and two pi is equal to one cor times two pi squared or four high square minus zero. The curve forgiven is R equals square root of data. So we have a full rotation. The log of juan is zero, so that's gone. Does the answer help you? The Attempt at a Solution. Try Numerade free for 7 days. R = 2 + \cos \theta $.
Recall that area is a positive quantity. This problem has been solved! You do one half The integral A. But we can neglect those two points in her in a rural we'll still have the same into broke. Since this is a square root function in our feta is always going to be positive. Miss you that our final answer place where is positive So this answer will make sense. I know how to solve the question, I just don't know what to use for a and b. I tried 0 and 2pi but I am getting the wrong answer.
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