Lesson 01 Appsof Integrals Mar17
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Lesson 01 Appsof Integrals Mar17

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Lesson 01 Appsof Integrals Mar17 Presentation Transcript

  • 1. Volume by slices
  • 2. y x a b
  • 3. The volume of a solid between x = a and x = b having a cross­sectional are A(x) at input x is: b V =  A(x) dx a
  • 4. Find the volume of a right circular cone with base  radius 1 and height 4.  4 V =  A(x) dx 0 0 x 4 2 x A(x) =  16
  • 5. V =  1 r2 h 3 = 1 (1)2 4 3 = 4 3 Confirms value from previous screen
  • 6. If the function below is revolved about the x­axis, find the volume  of the solid generated between f, the x­axis, x = 0, and x = 2. f(x) = x2
  • 7. Exercise 8.2 Questions 1 ­ 9