Explanation Given information: The indefinite integral ∫ ( 2 sin 3 x + cos 2 x 2 ) d x Formula used: 1) ∫ sin a t d t = − 1 a cos a t + C , where C is an arbitrary constant. 2) ∫ cos a t d t = 1 a sin a t + C , where C is an arbitrary constant. Calculation: ∫ ( 2 sin 3 x + cos 2 x 2 ) d x = ∫ 2 sin 3 x d x + ∫ 1 2 cos 2 x d x By using the constant multiple rule for integral, ∫ 2 sin 3 x d x + ∫ 1 2 cos 2 x d x = 2 ∫ sin 3 x d x + 1 2 ∫ cos 2 x d x Comparing ∫ sin 3 x d x

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ISBN: 9780137638826

Author: Goldstein

Publisher: PEARSON

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Chapter 8.3, Problem 40E

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To calculate: The indefinite integral ∫(2sin 3x+cos2x2)dx.

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Chapter 8.3, Problem 39E

Chapter 8.3, Problem 41E

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Chapter 8 Solutions

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Ch. 8.1 - A right triangle has one angle of /3 radians. What...Ch. 8.1 - Prob. 2CYU Ch. 8.1 - Prob. 1E Ch. 8.1 - Prob. 2E Ch. 8.1 - Prob. 3E Ch. 8.1 - Prob. 4E Ch. 8.1 - Give the radian measure of each angle described.Ch. 8.1 - Prob. 6E Ch. 8.1 - Prob. 7E Ch. 8.1 - Prob. 8E

Ch. 8.1 - Prob. 9E Ch. 8.1 - Prob. 10E Ch. 8.1 - Prob. 11E Ch. 8.1 - Prob. 12E Ch. 8.1 - Prob. 13E Ch. 8.1 - Prob. 14E Ch. 8.1 - Prob. 15E Ch. 8.1 - Prob. 16E Ch. 8.1 - Prob. 17E Ch. 8.1 - Prob. 18E Ch. 8.2 - Find cost, where t is the radian measure of the...Ch. 8.2 - Prob. 2CYU Ch. 8.2 - Prob. 1E Ch. 8.2 - Prob. 2E Ch. 8.2 - Prob. 3E Ch. 8.2 - Prob. 4E Ch. 8.2 - In Exercises 112, give the values of sint and...Ch. 8.2 - Prob. 6E Ch. 8.2 - Prob. 7E Ch. 8.2 - Prob. 8E Ch. 8.2 - Prob. 9E Ch. 8.2 - Prob. 10E Ch. 8.2 - Prob. 11E Ch. 8.2 - Prob. 12E Ch. 8.2 - Prob. 13E Ch. 8.2 - Prob. 14E Ch. 8.2 - Prob. 15E Ch. 8.2 - Prob. 16E Ch. 8.2 - Prob. 17E Ch. 8.2 - Prob. 18E Ch. 8.2 - Prob. 19E Ch. 8.2 - Prob. 20E Ch. 8.2 - Prob. 21E Ch. 8.2 - Prob. 22E Ch. 8.2 - Prob. 23E Ch. 8.2 - Prob. 24E Ch. 8.2 - Prob. 25E Ch. 8.2 - Prob. 26E Ch. 8.2 - Prob. 27E Ch. 8.2 - Prob. 28E Ch. 8.2 - Prob. 29E Ch. 8.2 - Prob. 30E Ch. 8.2 - Prob. 31E Ch. 8.2 - Prob. 32E Ch. 8.2 - Prob. 33E Ch. 8.2 - Prob. 34E Ch. 8.2 - 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The indefinite integral ∫ ( 2 sin 3 x + cos 2 x 2 ) d x .

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To calculate: The indefinite integral ∫(2sin 3x+cos2x2)dx.

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Chapter 8 Solutions