How would I calculate the volume of an area bound by y=lnx, y=1, y=2, and x=0 if it was swung around the y axis? How can one find the limits of integration
![algebra precalculus - $y = \ln x$ with their $x$ coordinates as $1,2$ and $t$ respectively - Mathematics Stack Exchange algebra precalculus - $y = \ln x$ with their $x$ coordinates as $1,2$ and $t$ respectively - Mathematics Stack Exchange](https://i.stack.imgur.com/cH0gt.jpg)
algebra precalculus - $y = \ln x$ with their $x$ coordinates as $1,2$ and $t$ respectively - Mathematics Stack Exchange
![SOLVED: Given: y = (Inx) find dy/dx 1t (In ln? y = (In .)" In 1 = (Inc)"-1 [1 + x (lnz) (Inlnz)] y' = (lIn2)*+1[2 + lnx] None of these (In 2)" (1 + lnz) SOLVED: Given: y = (Inx) find dy/dx 1t (In ln? y = (In .)" In 1 = (Inc)"-1 [1 + x (lnz) (Inlnz)] y' = (lIn2)*+1[2 + lnx] None of these (In 2)" (1 + lnz)](https://cdn.numerade.com/ask_images/66c9522b48a84466bc3c40a4c3f7e9f5.jpg)
SOLVED: Given: y = (Inx) find dy/dx 1t (In ln? y = (In .)" In 1 = (Inc)"-1 [1 + x (lnz) (Inlnz)] y' = (lIn2)*+1[2 + lnx] None of these (In 2)" (1 + lnz)
![algebra precalculus - Is there a solution to $y=\ln(x)+x$ which yields an answer in the form $x^2=...$ - Mathematics Stack Exchange algebra precalculus - Is there a solution to $y=\ln(x)+x$ which yields an answer in the form $x^2=...$ - Mathematics Stack Exchange](https://i.stack.imgur.com/yMgfR.png)
algebra precalculus - Is there a solution to $y=\ln(x)+x$ which yields an answer in the form $x^2=...$ - Mathematics Stack Exchange
![SOLUTION: Set up, but do not evaluate, the integral which gives the volume when the region bounded by the curves y = Ln(x), y = 1, and x = 1 is revolved SOLUTION: Set up, but do not evaluate, the integral which gives the volume when the region bounded by the curves y = Ln(x), y = 1, and x = 1 is revolved](https://i.imgur.com/l9zkCxN.png)
SOLUTION: Set up, but do not evaluate, the integral which gives the volume when the region bounded by the curves y = Ln(x), y = 1, and x = 1 is revolved
![The slope of the tangent to the curve y = ln (x) at x = 1 is . Hint: Graph y = ln (x) and then draw the tangent at the point The slope of the tangent to the curve y = ln (x) at x = 1 is . Hint: Graph y = ln (x) and then draw the tangent at the point](https://homework.study.com/cimages/multimages/16/sdcb011732759915435979865.png)