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Hasil dari ∫ 1 + sin 3 x ​ d x = …

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  1. negative 1 half open parentheses sin space 3 over 2 x plus cos space 3 over 2 x close parentheses plus c 

  2. 2 over 3 open parentheses sin space 3 over 2 x plus cos 3 over 2 x close parentheses plus c 

  3. 3 over 4 open parentheses sin 4 over 3 x minus cos 4 over 3 x close parentheses plus c 

  4. negative 1 half open parentheses sin 2 over 3 x minus cos 2 over 3 x close parentheses plus c 

  5. 2 over 3 open parentheses sin 3 over 2 x minus cos 3 over 2 x close parentheses plus c 

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Pembahasan

integral square root of 1 plus sin space 3 x end root space d x equals integral square root of open parentheses s i n squared 3 over 2 plus c o s squared 3 over 2 x close parentheses plus open parentheses 2 space sin 3 over 2 x space c o s 3 over 2 x close parentheses end root space d x equals integral square root of open parentheses s i n squared 3 over 2 x plus 2 space sin 3 over 2 x space c o s 3 over 2 x plus c o s squared 3 over 2 x close parentheses end root space d x equals integral square root of open parentheses s i n 3 over 2 x plus c o s squared 3 over 2 x close parentheses squared end root space d x equals integral open parentheses s i n 3 over 2 x plus c o s squared 3 over 2 x close parentheses space d x equals negative 2 over 3 cos 3 over 2 x plus 2 over 3 sin 3 over 2 x plus c equals 2 over 3 open parentheses sin 3 over 2 x minus cos 3 over 2 x close parentheses plus c 

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