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# December 4, 2012 - PowerPoint PPT Presentation

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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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

MVT vs Average Value for Integrals

• Mean Value Theorem for Integrals

• Definition of an average value of a function on an interval

U-Substitution

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

3. If f(x) =

and f(1) = 2, find f(x)