Explanation Given: The integral is ∫ 6 y d y . Formula used: The family of all anti-derivatives of the function f is denoted by ∫ f ( x ) d x . If F ′ ( x ) = f ( x ) , then ∫ f ( x ) d x = F ( x ) + C , for any real number C . Power rule of anti-derivatives is defined as: For any real number n ≠ − 1 , ∫ x n d x = 1 n + 1 x n + 1 + C Let f ( x ) and g ( x ) be functions that have anti-derivatives and let k be any real number. Constant Multiple Rule is: ∫ k f ( x ) d x = k ∫ f ( x ) d x Sum or Difference Rule is: ∫ [ f ( x ) ± g ( x ) ] d x = ∫ f ( x ) d x ± ∫ g ( x ) d x <

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Chapter 13.1, Problem 17E

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Chapter 13 Solutions

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Ch. 13.1 - Checkpoint 1 Find an antiderivative for each of...Ch. 13.1 - Checkpoint 2 Find each of the...Ch. 13.1 - Prob. 3CP Ch. 13.1 - Prob. 4CP Ch. 13.1 - Prob. 5CP Ch. 13.1 - Prob. 6CP Ch. 13.1 - Prob. 7CP Ch. 13.1 - Checkpoint 8 The marginal cost at a level of...Ch. 13.1 - 1. What must be true of F(x) and G(x) if both are...Ch. 13.1 - 2. How is the antiderivative of a function related...

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