let-tt-be-the-region-bounded-by-the-graph-of-fx1x3-fx-frac1x3-the-xx-axis-and-th

Question

Let TT be the region bounded by the graph of f(x)=1x+3 f(x) = \frac{1}{x+3} , the xx-axis, and the vertical lines x=2 x = 2  and x=6 x = 6 . Find the volume of the solid formed when TT is revolved about the yy-axis.

Accepted Answer

2π(4+3ln⁡59) units32\pi\left(4+3\ln\frac59ight)~	ext{units}^3

Answer

2π(2+3ln⁡59) units32\pi\left(2+3\ln\frac59ight)~	ext{units}^3

Answer

4π(2+ln⁡5) units34\pi\left(2+\ln5ight)~	ext{units}^3

Answer

4π(4+ln⁡9) units34\pi\left(4+\ln9ight)~	ext{units}^3

Let TT be the region bounded by the graph of f(x)=1x+3 f(x) = \(\frac{1}{x+3}\) , the xx-axis, and the vertical lines x=2 x = 2 and x=6 x = 6 . Find the volume of the solid formed when TT is revolved about the yy-axis.

Let $T$ be the region bounded by the graph of $f (x) = \frac{1}{x + 3}$ , the $x$ -axis, and the vertical lines $x equals 2$ and $x equals 6$ . Find the volume of the solid formed when $T$ is revolved about the $y$ -axis.