![V = \int\limits^2_ {-2}\pi (f(x))^{2} \, dx \\\\ = \pi \int\limits^2_ {-2} (f(x))^{2} \, dx \\\\ = \pi \int\limits^2_ {-2} (x(6 - x^{2})^{\frac{1}{2} })^{2} \, dx \\\\ = \pi \int\limits^2_ {-2} x^{2}(6 - x^{2}) \, dx \\\\ = \pi \int\limits^2_{-2} 6x^{2} - x^{4} \, dx \\\\ = \pi [\frac{6x^{3} }{3} -\frac{x^{5}}{5} ]\limits^2_{-2} \\\\ = \pi [(2(2)^{3}-\frac{(2)^{5}}{5})-(2(-2)^{3} - \frac{(-2)^{-5}}{5}) ] \\\\ = \pi[(16 - \frac{32}{5}) - (-16-(-\frac{32}{5}))] \\\\ = \pi[\frac{48}{5} - (-\frac{48}{5})]](/tpl/images/2614/9691/d340c.png)
Could anyone help with this question
...
Answers: 3
Another question on Mathematics
Mathematics, 21.06.2019 15:00
Idon’t understand this.. will someone ? will mark brainliest along with 20 points.
Answers: 1
Mathematics, 21.06.2019 16:00
Find the amount in a continuously compounded account for the given condition. principal: $1000, annual interest rate: 4.8%, time: 2 yr
Answers: 3
Mathematics, 21.06.2019 18:00
Polygon hh is a scaled copy of polygon gg using a scale factor of 1/4. polygon h's area is what fraction of polygon g's area?
Answers: 3
You know the right answer?
Questions
Mathematics, 22.02.2021 19:50
History, 22.02.2021 19:50
Health, 22.02.2021 19:50
Social Studies, 22.02.2021 19:50
World Languages, 22.02.2021 19:50
Physics, 22.02.2021 19:50
Chemistry, 22.02.2021 20:00
Computers and Technology, 22.02.2021 20:00
Mathematics, 22.02.2021 20:00
Mathematics, 22.02.2021 20:00
Mathematics, 22.02.2021 20:00
Mathematics, 22.02.2021 20:00
Computers and Technology, 22.02.2021 20:00
