Find an area and volume based on the curve y=2e^{-x} between x=0 and
x=k
Volume = \int \pi y^2 dx [Note: there is a small error in this video at about 4.07 minutes in, where a factor of 4 should have been included, not 2.]
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This question appears in the following syllabi:
| Syllabus | Module | Section | Topic | Exam Year |
|---|---|---|---|---|
| AP Calculus AB (USA) | 4 | Integration | Volume of revolution | - |
| AP Calculus BC (USA) | 4 | Integration | Volume of revolution | - |
| AQA A-Level (UK - Pre-2017) | C3 | Integration | Volume of revolution | - |
| CCEA A-Level (NI) | C4 | Integration | Volume of revolution | - |
| CIE A-Level (UK) | P1 | Integration | Volume of revolution | - |
| Edexcel A-Level (UK - Pre-2017) | C4 | Integration | Volume of revolution | - |
| I.B. Higher Level | 6 | Integration | Volume of revolution | - |
| I.B. Standard Level | 6 | Integration | Volume of revolution | - |
| Methods (UK) | M9 | Integration | Volume of revolution | - |
| OCR A-Level (UK - Pre-2017) | C3 | Integration | Volume of revolution | - |
| OCR-MEI A-Level (UK - Pre-2017) | C4 | Integration | Volume of revolution | - |
| Pre-U A-Level (UK) | 5 | Integration | Volume of revolution | - |
| Scottish Advanced Highers | M1 | Integration | Volume of revolution | - |
| Scottish (Highers + Advanced) | AM1 | Integration | Volume of revolution | - |
| Universal (all site questions) | I | Integration | Volume of revolution | - |
| WJEC A-Level (Wales) | C4 | Integration | Volume of revolution | - |