Explanation Given: The integral, ∫ 3 x e x 2 − 1 d x Formula used: If f ( x ) = x n for any number n , then the integral will be ∫ f ( x ) d x = x n + 1 n + 1 + c And, ∫ e x d x = e x + c Where c is the constant of integration. Calculation: Consider the following expression: ∫ 3 x e x 2 − 1 d x Assume u = x 2 − 1 . Determine d u by take a derivative: d u = 2 x d x Now, using integration by substitution

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Chapter 13.3, Problem 20E

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To calculate: The indefinite integral of the expression ∫3xex2−1dx by using the integration by substitution.

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Chapter 13.3, Problem 19E

Chapter 13.3, Problem 21E

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The indefinite integral of the expression ∫ 3 x e x 2 − 1 d x by using the integration by substitution.

Solution Summary: The author calculates the indefinite integral of the expression displaystyle 'int 3xex' by using integration by substitution.

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To calculate: The indefinite integral of the expression ∫3xex2−1dx by using the integration by substitution.

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Chapter 13 Solutions