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Nilai dari ∫−12​(x2−3) dx adalah ...

Pertanyaan

Nilai dari begin mathsize 14px style integral subscript negative 1 end subscript superscript 2 open parentheses x squared minus 3 close parentheses space d x end style adalah ...

  1. size 14px minus size 14px 12 

  2. begin mathsize 14px style negative 6 end style 

  3. begin mathsize 14px style 0 end style 

  4. size 14px 6 

  5. begin mathsize 14px style 12 end style 

A. Armanda

Master Teacher

Mahasiswa/Alumni Universitas Indraprasta PGRI

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B.

Pembahasan

Ingat!

  begin mathsize 14px style integral subscript a superscript b open square brackets f left parenthesis x right parenthesis plus-or-minus g left parenthesis x right parenthesis close square brackets space d x equals integral subscript a superscript b f left parenthesis x right parenthesis space d x plus-or-minus integral subscript a superscript b g left parenthesis x right parenthesis space d x end style 

Maka,

 begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell integral subscript negative 1 end subscript superscript 2 open parentheses x squared minus 3 close parentheses space d x end cell row blank equals cell integral subscript negative 1 end subscript superscript 2 x squared space d x minus integral subscript negative 1 end subscript superscript 2 3 space d x end cell row blank equals cell open square brackets 1 third x cubed close square brackets subscript negative 1 end subscript superscript 2 minus 3 open square brackets x close square brackets subscript negative 1 end subscript superscript 2 end cell row blank equals cell 1 third open parentheses 2 cubed minus open parentheses negative 1 close parentheses cubed close parentheses minus 3 open parentheses 2 minus open parentheses negative 1 close parentheses close parentheses end cell row blank equals cell 1 third times 9 minus 3 times 3 end cell row blank equals cell 3 minus 9 end cell row blank equals cell negative 6 end cell end table end style 

Sehingga, begin mathsize 14px style integral subscript negative 1 end subscript superscript 2 open parentheses x squared minus 3 close parentheses space d x equals negative 6 end style.

Jadi, jawaban yang tepat adalah B.

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