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Pertanyaan

Jika f ( x ) = ∫ sin 2 x d x dan g ( x ) = x ⋅ f ( x ) , maka g ( x − π ) = ...

Jika dan , maka

  1. sin squared space straight x minus open parentheses straight x minus straight pi close parentheses times space sin space 2 straight x

  2. sin squared space straight x minus straight x times space sin space straight x

  3. sin squared space straight x plus 2 open parentheses straight x minus straight pi close parentheses times space sin space straight x

  4. sin squared space straight x plus straight x times space sin space 2 straight x

  5. sin squared space straight x plus open parentheses straight x minus straight pi close parentheses times space sin space 2 straight x

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N. Ayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Padang

Jawaban terverifikasi

Pembahasan

maka :

f left parenthesis x right parenthesis equals integral sin squared space x space d x left right arrow f apostrophe open parentheses x close parentheses equals sin squared space x comma maka :

table attributes columnalign right center left columnspacing 0px end attributes row cell straight g open parentheses straight x close parentheses end cell equals cell straight x times straight f apostrophe open parentheses straight x close parentheses rightwards arrow straight g open parentheses straight x close parentheses equals straight x times sin squared space straight x end cell row cell straight g apostrophe open parentheses straight x close parentheses end cell equals cell sin squared space straight x plus straight x times 2 sin squared space straight x times cos space straight x end cell row cell straight g apostrophe open parentheses straight x minus straight pi close parentheses end cell equals cell sin squared open parentheses straight x minus straight pi close parentheses plus open parentheses straight x minus straight pi close parentheses times 2 times sin space open parentheses straight x minus straight pi close parentheses times cos space open parentheses straight x minus straight pi close parentheses end cell row blank equals cell sin squared space straight x plus open parentheses straight x minus straight pi close parentheses times 2 times sin space open parentheses negative open parentheses straight pi minus straight x close parentheses close parentheses times cos space open parentheses negative open parentheses straight pi minus straight x close parentheses close parentheses end cell row blank equals cell sin squared space straight x plus open parentheses straight x minus straight pi close parentheses times 2 times negative sin space straight x times negative cos space straight x end cell row blank equals cell sin squared space straight x plus open parentheses straight x minus straight pi close parentheses times space sin space 2 straight x end cell end table

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