Explanation Formula Used: If a and b are constants and f(x) and g(x) are continuous functions on [a, b], then: Linear property of integrals: ∫ ( a f ( x ) + b g ( x ) ) d x = a ∫ f ( x ) d x + b ∫ g ( x ) d x And ∫ x n d x = x n + 1 n + 1 + C And the Fundamental theorem of calculus: ∫ a b f ( x ) d x = F ( b ) − F ( a ) , where F ′ ( x ) = f ( x ) Calculations: First find the indefinite integral , ∫ ( x 7 3 − 2 x 1 4 ) d x . From the linear property and the above formula, the given integral can be written as, ∫ ( x 7 3 − 2 x 1 4 ) d x = ∫ x 7 3 d x − 2 ∫ x 1 4 d x = [ x 7 3 + 1 7 3 + 1 ] − 2 [ x 1 4 + 1 1 4 + 1 ] + C

4th Edition

ISBN: 9781319434526

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 5, Problem 46CRE

To determine

To evaluate: Theintegral given below

$\int_{0}^{1} (x^{\frac{7}{3}} - 2 x^{\frac{1}{4}}) d x$

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Chapter 5, Problem 45CRE

Chapter 5, Problem 47CRE

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Chapter 5 Solutions

CALCULUS 4E (LL) W/ ACHIEVE ACCESS

Ch. 5.1 - Prob. 1PQ Ch. 5.1 - Prob. 2PQ Ch. 5.1 - Prob. 3PQ Ch. 5.1 - Prob. 4PQ Ch. 5.1 - Prob. 5PQ Ch. 5.1 - Prob. 1E Ch. 5.1 - Prob. 2E Ch. 5.1 - Prob. 3E Ch. 5.1 - Prob. 4E Ch. 5.1 - Prob. 5E

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Theintegral given below ∫ 0 1 ( x 7 3 − 2 x 1 4 ) d x

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