Explanation Given: f ( x , y ) = x e x y Concept used: By substituting x y = t and treating ‘ x’ as constant and differentiating x d y = d t ‘ x’ can be easily be removed ∫ f ( x , y ) To determine (b) Evaluate ∫ ∫ R x e x y d A , where R = [ 0 , 1 ] × [ 01 , ]

ACHIEVE FOR CALCULUS 4 TERM >CSI CUSTOM<

21st Edition

ISBN: 9781319438333

Author: Rogawski

Publisher: MAC HIGHER

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Question

Chapter 15.1, Problem 48E

To determine

(a)

Which is easier, anti-differentiating xexy with respect to ‘ x’ or with respect to ‘ y’ ?

To determine

(b)

Evaluate ∫∫RxexydA, where R=[0,1]×[01,]

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Chapter 15.1, Problem 47E

Chapter 15.1, Problem 49E

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Chapter 15 Solutions

ACHIEVE FOR CALCULUS 4 TERM >CSI CUSTOM<

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(a) Which is easier, anti- differentiating x e x y with respect to ‘ x’ or with respect to ‘ y’ ?