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Jika dengan c ≠ 0, maka hasil dari ....

Jika begin mathsize 14px style integral subscript a superscript b cos invisible function application open parentheses x over c minus pi close parentheses d x equals negative c end style dengan c ≠ 0, maka hasil dari begin mathsize 14px style integral subscript a superscript b sin squared invisible function application open parentheses fraction numerator x over denominator 2 c end fraction close parentheses blank d x equals end style....

  1. begin mathsize 14px style negative c end style 

  2. size 14px minus size 14px 1 over size 14px 2 size 14px c 

  3. size 14px b size 14px minus size 14px a size 14px minus size 14px c 

  4. size 14px 1 over size 14px 2 begin mathsize 14px style left parenthesis b minus a plus c right parenthesis end style 

  5. size 14px 1 over size 14px 2 begin mathsize 14px style left parenthesis b minus a minus c right parenthesis end style 

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A. Arifianto

Master Teacher

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Pembahasan

Diketahui: Maka, Ingat kembali sudut setengah berikut ini. Maka,

Diketahui:

undefined

Maka,

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell integral subscript a superscript b cos invisible function application open parentheses x over c minus pi close parentheses d x end cell equals cell integral subscript a superscript b cos invisible function application open parentheses pi plus x over c close parentheses d x end cell row blank equals cell integral subscript a superscript b minus cos invisible function application open parentheses x over c close parentheses d x end cell row blank equals c end table end style

Ingat kembali sudut setengah berikut ini.

begin mathsize 14px style sin squared invisible function application A equals 1 half minus 1 half cos invisible function application 2 A end style

Maka,

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell integral subscript a superscript b sin squared invisible function application open parentheses fraction numerator x over denominator 2 c end fraction close parentheses d x end cell equals cell integral subscript a superscript b 1 half open parentheses 1 minus cos invisible function application open parentheses x over c close parentheses close parentheses d x end cell row blank equals cell 1 half open square brackets integral subscript a superscript b 1 d x minus integral subscript a superscript b cos invisible function application open parentheses x over c close parentheses d x close square brackets end cell row blank equals cell open 1 half x close vertical bar subscript a superscript b minus 1 half open parentheses negative c close parentheses end cell row blank equals cell 1 half open parentheses b minus a close parentheses plus 1 half c end cell row blank equals cell 1 half open parentheses b minus a plus c close parentheses end cell end table end style 

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