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December 4, 2012

December 4, 2012. AIM : What is the difference between the Mean Value and Average Value? How do we use u-substitution to find integrals?. DO NOW :. 2. Find f if f’(x)=5x 4 – 2x 5 and f(0) = 4. 1. 3 . Find the relative minimum of f(x ). b ). a).

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December 4, 2012

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  1. December 4, 2012 AIM: What is the difference between the Mean Value and Average Value? How do we use u-substitution to find integrals? DO NOW: 2. Find f if f’(x)=5x4 – 2x5 and f(0) = 4. 1. 3. Find the relative minimum of f(x) b) a) HW4.4c Pg. 291 – 292 #43 – 46, 48; Pg. 91 # 11 – 21 odd

  2. MVT vs Average Value for Integrals • Mean Value Theorem for Integrals • Definition of an average value of a function on an interval

  3. Calculus in Motion - MVT

  4. How would I find this integral? U-Substitution

  5. Steps for using u-substitution! • Determine what u = and du =. • Substitute u and du into your integrand. • Now, integrate your integrand with respect to u. • Finally, change everything back to the variable x and don’t forget your +C! U-Substitution

  6. Example 2

  7. Example 3

  8. How do I figure out what the “u” is?

  9. Example 4

  10. Classwork 3. If f(x) = and f(1) = 2, find f(x)

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