Find the volume of a solid formed by revolving the region bounded by the graphs of y=x^3+x+1,y=1, and x=1 about the line x=2.
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Originally Posted by dandaman Find the volume of a solid formed by revolving the region bounded by the graphs of y=x^3+x+1,y=1, and x=1 about the line x=2. did you graph the region? i would use the shell method here. $\displaystyle V = 2 \pi \int \text{radius} \cdot \text{height}$ here we have $\displaystyle V = \int_0^1 (2 - x)(x^3 + x)~dx$ any questions?
no, thanks!!
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