Volume Of A Solid Of Revolution
Find the volume of the solid obtained by rotating the region bounded by $$y=x^2+1$$ and $$y=3*x$$ about the x-axis, where the curves intersect.
A
$$\pi\left[ -\frac{x^5}{5}+\frac{7*x^3}{3}-x \right]_{x=\frac{3-\sqrt{5}}{2}}^{x=\frac{3+\sqrt{5}}{2}}$$
B
$$\pi\left[ \frac{x^5}{5}-\frac{7*x^3}{3}+x \right]_{x=\frac{3-\sqrt{5}}{2}}^{x=\frac{3+\sqrt{5}}{2}}$$
C
$$\left[ -\frac{x^5}{5}+\frac{7*x^3}{3}-x \right]_{x=\frac{3-\sqrt{5}}{2}}^{x=\frac{3+\sqrt{5}}{2}}$$
D
$$\pi\left[ -\frac{x^5}{5}+\frac{7*x^3}{3}-x \right]_{x=0}^{x=3}$$
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