Explanation 1) Concept: i) The property of integral ∫ f x + g x d x = ∫ f x d x + ∫ g x d x ii) Indefinite integral ∫ sin ⁡ x d x = - cos ⁡ x + C 2) Given: ∫ sin ⁡ x + sinh ⁡ x d x 3) Calculation: By using theproperty of integral, ∫ sin ⁡ x + sinh ⁡ x d x = ∫ sin ⁡ x d x + ∫ sinh ⁡ x d x But sinh ⁡ x = e x - e - x 2 . So, ∫ sinh ⁡ x d x = ∫ e x - e - x 2 d x = 1 2 ∫ e x - e - x d x = 1 2 ∫ e x d x - 1 2 ∫ e <

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Chapter 4.4, Problem 69E

To determine

To evaluate:

The integral ∫sin⁡x+sinh⁡x dx

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UD CALC (241 ONLY) W/1 TERM ACCESS >IB

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