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.]

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 | - |