Calculate the integrals below using the following function: f(x) = 3x², where 0 ≤ x ≤ 1. (a) ƒ ƒ(x) dx (b) fő f(x) dx μ = 1 So f₁²¹ x f(x) dx (c) (d) Using your result in part (c), calculate f¹(x − µ)² ƒ(x) dx με

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter5: Graphs And The Derivative
Section5.3: Higher Derivatives, Concavity, And The Second Derivative Test
Problem 63E
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Calculate the integrals below using the following function:
f(x) = 3x², where 0 ≤ x ≤ 1.
(a) ƒ ƒ(x) dx
(b) fő f(x) dx
μ =
1
So
f₁²¹ x f(x) dx
(c)
(d) Using your result in part (c), calculate f¹(x − µ)² ƒ(x) dx
με
Transcribed Image Text:Calculate the integrals below using the following function: f(x) = 3x², where 0 ≤ x ≤ 1. (a) ƒ ƒ(x) dx (b) fő f(x) dx μ = 1 So f₁²¹ x f(x) dx (c) (d) Using your result in part (c), calculate f¹(x − µ)² ƒ(x) dx με
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ISBN:
9780321964038
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GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,