Mathematics, 18.05.2021 19:20 jlperez77
find the volume of the solid formed by revolving the region bounded by the graphs of y = 4x - x^2 and f(x) = x^2 from [0,2] about the... a) x-axis.
Answers: 2
![[a,b] = [0,2]](/tpl/images/1331/4311/1eac2.png)
![v = 8\pi [ \frac{2x^{2+1}}{2+1} - \frac{x^{3+1}}{3+1} ]|\limit^2_0](/tpl/images/1331/4311/747ad.png)
![v = 8\pi [ \frac{2x^{3}}{3} - \frac{x^{4}}{4} ]|\limit^2_0](/tpl/images/1331/4311/aaf4b.png)
![v = 8\pi ([ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ] - [ \frac{2*0^{3}}{3} - \frac{0^{4}}{4} ])](/tpl/images/1331/4311/95d6f.png)
![v = 8\pi ([ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ] - [ 0 - 0])](/tpl/images/1331/4311/835d6.png)
![v = 8\pi [ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ]](/tpl/images/1331/4311/88a58.png)
![v = 8\pi [ \frac{16}{3} - \frac{16}{4} ]](/tpl/images/1331/4311/3fdbd.png)
![v = 8\pi [ \frac{16*4- 16 * 3}{12}]](/tpl/images/1331/4311/d074f.png)
![v = 8\pi [ \frac{64- 48}{12}]](/tpl/images/1331/4311/259cc.png)
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find the volume of the solid formed by revolving the region bounded by the graphs of y = 4x - x^2 an...
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