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begin mathsize 14px style integral sin cubed blank invisible function application open parentheses x minus 2 pi close parentheses d x equals end style ....

  1. Error converting from MathML to accessible text. 

  2. begin mathsize 14px style cos space invisible function application open parentheses x minus 2 pi close parentheses plus 2 over 3 cos cubed invisible function application blank open parentheses x minus 2 pi close parentheses plus C end style 

  3. begin mathsize 14px style cos space invisible function application open parentheses x minus 2 pi close parentheses plus 1 third cos cubed invisible function application blank open parentheses x minus 2 pi close parentheses plus C end style 

  4. Error converting from MathML to accessible text. 

  5. Error converting from MathML to accessible text. 

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A. Khairunisa

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

Jawaban terverifikasi

Jawaban

jawabannya adalah E.

jawabannya adalah E.

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Pembahasan

Ingat kembali identitas trigonometri berikut ini. Kemudian, dimisalkan Maka, Sehingga Jadi, jawabannya adalah E.

Ingat kembali identitas trigonometri berikut ini.

begin mathsize 14px style sin squared invisible function application A plus cos squared invisible function application A equals 1 end style

Kemudian, dimisalkan begin mathsize 14px style u equals cos left parenthesis x space minus space 2 pi right parenthesis end style

Maka,

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator d u over denominator d x end fraction end cell equals cell negative sin left parenthesis x minus 2 straight pi right parenthesis end cell row cell integral du over dx dx end cell equals cell negative integral sin left parenthesis straight x minus 2 straight pi right parenthesis space dx end cell row cell integral du end cell equals cell negative integral sin left parenthesis straight x minus 2 straight pi right parenthesis space dx end cell end table end style

Sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell integral sin cubed left parenthesis x minus 2 straight pi right parenthesis space dx end cell equals cell integral sin left parenthesis straight x minus 2 straight pi right parenthesis sin squared left parenthesis straight x minus 2 straight pi right parenthesis space dx end cell row blank equals cell integral sin left parenthesis straight x minus 2 straight pi right parenthesis open square brackets 1 minus cos squared left parenthesis straight x minus 2 straight pi right parenthesis close square brackets space dx end cell row blank equals cell integral open square brackets sin left parenthesis straight x minus 2 straight pi right parenthesis minus sin left parenthesis straight x minus 2 straight pi right parenthesis cos squared left parenthesis straight x minus 2 straight pi right parenthesis close square brackets space dx end cell row blank equals cell integral sin left parenthesis straight x minus 2 straight pi right parenthesis space dx minus integral sin left parenthesis straight x minus 2 straight pi right parenthesis cos squared left parenthesis straight x minus 2 straight pi right parenthesis space dx end cell row blank equals cell integral sin left parenthesis straight x minus 2 straight pi right parenthesis space dx plus integral straight u squared space du end cell row blank equals cell negative cos left parenthesis straight x minus 2 straight pi right parenthesis plus 1 third straight u cubed plus straight C end cell row blank equals cell negative cos left parenthesis straight x minus 2 straight pi right parenthesis plus 1 third cos cubed left parenthesis straight x minus 2 straight pi right parenthesis plus straight C end cell end table end style

Jadi, jawabannya adalah E.

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