Unformatted text preview: approximation). 3. Find the area of the region bounded by the curves y = 2-x , y = x 2 and the line y = 0. Include a sketch of the area. Leave your answers in exact form (not a decimal approximation). 4. Evaluate the following indeﬁnite integrals: (a) Z x 3 + x 2 + 5 x 2 + 4 dx (b) Z x 4-8 x 2-10 x 2-3 x-10 dx 5. Find the volume of the solid obtained by rotating the region bounded by the curves y = √ x , x = 2 and y = 0 about the x-axis. Include a sketch of the region and a typical cross-section with a plane orthogonal to the x-axis. Leave your answers in exact form (not a decimal approximation). 1...
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- Winter '07
- Riemann integral, Henstock–Kurzweil integral, Professor Jason Levy