Explanation Given: The provided integral is ∫ 0 2 ∫ x 2 2 x ( x 2 + 2 y ) d y d x . Formula used: Use the integration formula; ∫ x d x = x 2 2 Calculation: The function is firstly integrated with respect to y, taking x as a constant. Then, the limit of y is substituted. Again, the obtained function is integrated with respect to x . The integral is solved as follows: ∫ 0 2 ∫ x 2 2 x ( x 2 + 2 y ) d y d x = ∫ 0 2 [ x 2 y + 2 y 2 2 ] x 2 2 x d x = ∫ 0 2 [ ( x 2 ⋅ 2 x + ( 2 x ) 2 ) − ( x 2 ⋅ x 2 + ( x 2 ) 2 ) ] d x <

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ISBN: 9781337275576

Author: Larson, Ron, Edwards, Bruce

Publisher: Cengage Learning,

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Chapter 14, Problem 4RE

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To calculate: The value of the integral given as ∫02∫x22x(x2+2y)dydx.

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Chapter 14, Problem 3RE

Chapter 14, Problem 5RE

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The value of the integral given as ∫ 0 2 ∫ x 2 2 x ( x 2 + 2 y ) d y d x .

Solution Summary: The author explains how the integral is solved by using the integration formula 8815.

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To calculate: The value of the integral given as ∫02∫x22x(x2+2y)dydx.

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Chapter 14 Solutions