Explanation Theorem used: Fundamental Theorem “Let f be a continuous function on [ a , b ] . If F is anti-derivative of f on [ a , b ] , then ∫ a b f ( x ) d x = F ( b ) − F ( a ) ”. Calculation: The given integral is F ( b ) = ∫ 8 b 1 x 3 d x . Use the above mentioned theorem to calculate the above integral. F ( b ) = ∫ 8 b 1 x 3 d x = ∫ 8 b x − 1 3 d x = [ x − 1 3 + 1 − 1 3 + 1 ] 8 b = 3 2 [ x 2 3 ] 8 b

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ISBN: 9780135903896

Author: Barnett

Publisher: PEARSON

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Chapter 11.1, Problem 48E

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To find: The value of integral F(b)=∫8b1x3dx and draw its graph; Estimate limb→∞F(b) using graph.

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Chapter 11.1, Problem 47E

Chapter 11.1, Problem 49E

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Chapter 11 Solutions

CALCULUS FOR BUSINESS...-MYLAB ACESS

Ch. 11.1 - Evaluate the following, if it converges: 3dx(x1)2.Ch. 11.1 - Prob. 2MP Ch. 11.1 - Prob. 3MP Ch. 11.1 - Prob. 4MP Ch. 11.1 - Prob. 5MP Ch. 11.1 - Prob. 6MP Ch. 11.1 - Prob. 1ED Ch. 11.1 - Prob. 2ED Ch. 11.1 - Prob. 1E Ch. 11.1 - Prob. 2E

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The value of integral F ( b ) = ∫ 8 b 1 x 3 d x and draw its graph; Estimate lim b → ∞ F ( b ) using graph.

Solution Summary: The author calculates the value of integral F(b)=displaystyle underset8overset

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To find: The value of integral F(b)=∫8b1x3dx and draw its graph; Estimate limb→∞F(b) using graph.

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Chapter 11 Solutions