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The integral of the log of theta is data log theta minus data. R = \sqrt{\ln \theta} $, $ \; 1 \leqslant \theta \leqslant 2\pi $. Good Question ( 108). This problem has been solved! Enter your parent or guardian's email address: Already have an account? Solved by verified expert. D. So you get one half dinner girl, 1-2 pi the square root squared. Grade 10 · 2022-04-11. Answered step-by-step. We solved the question! Find the area of the shaded region. The Attempt at a Solution.
I just need to know what parameters to use for a and b:). A = integral from a to b 1/2r^2dθ. Gauthmath helper for Chrome.
Here is a picture: Thank you for the help. Recall that area is a positive quantity. Still have questions? Gauth Tutor Solution. So you end up with pie. R = 2 + \cos \theta $. So you've got 1/2 wanted to pi square root of the natural log of data squared.
It follows that f is continuous for these values of theta as well. Okay to find an area in polar coordinates? Check the full answer on App Gauthmath. So you get one half two pi natural log of two pi -2 pi -1 Log 1 -1. Enjoy live Q&A or pic answer. 1/2 times 1/2 data squared that I read it. Get 5 free video unlocks on our app with code GOMOBILE. Natural log of two pi minus pi plus one half.
Create an account to get free access. Provide step-by-step explanations. To B. R. Squared D. Theta. It is given by the formula integral from 0 to 2 pi of 1/2 R squared D theta, which is equal to 1/2 integral from 0 to 2 by those fada data which is equal to take anti derivatives. Since this is a square root function in our feta is always going to be positive. And your are is the natural log. You do one half The integral A.
And we see from our picture that the shaded region start at beta equals zero and ends at data equals two pi. Ask a live tutor for help now. Unlimited access to all gallery answers. Were given a curve in a shaded region bounded by this curb.