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Nilai dari ∫−11​(31​x2+3x−2)dx=....

Pertanyaan

Nilai dari integral subscript negative 1 end subscript superscript 1 open parentheses 1 third x squared plus 3 x minus 2 close parentheses d x equals.... 

  1. negative 34 over 9 

  2. negative 32 over 9 

  3. negative 2 over 9 

  4. 2 over 9 

  5. 34 over 9 

F. Nur

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah A.

Pembahasan

begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell integral subscript negative 1 end subscript superscript 1 open parentheses 1 third x squared plus 3 x minus 2 close parentheses d x end cell row blank equals cell open square brackets 1 third times fraction numerator 1 over denominator 2 plus 1 end fraction x to the power of 2 plus 1 end exponent plus fraction numerator 3 over denominator 1 plus 1 end fraction x to the power of 1 plus 1 end exponent minus fraction numerator 2 over denominator 0 plus 1 end fraction x to the power of 0 plus 1 end exponent close square brackets subscript negative 1 end subscript superscript 1 end cell row blank equals cell open square brackets 1 over 9 x cubed plus 3 over 2 x squared minus 2 x close square brackets subscript negative 1 end subscript superscript 1 end cell row blank equals cell open parentheses 1 over 9 open parentheses 1 close parentheses cubed plus 3 over 2 open parentheses 1 close parentheses squared minus 2 open parentheses 1 close parentheses close parentheses minus end cell row blank blank cell open parentheses 1 over 9 open parentheses negative 1 close parentheses cubed plus 3 over 2 open parentheses negative 1 close parentheses squared minus 2 open parentheses negative 1 close parentheses close parentheses end cell row blank equals cell open parentheses 1 over 9 plus up diagonal strike 3 over 2 end strike minus 2 close parentheses minus open parentheses negative 1 over 9 plus up diagonal strike 3 over 2 end strike plus 2 close parentheses end cell row blank equals cell 2 over 9 minus 4 end cell row blank equals cell fraction numerator 2 minus 36 over denominator 9 end fraction end cell row blank equals cell fraction numerator negative 34 over denominator 9 end fraction end cell row blank equals cell negative 34 over 9 end cell end table end style     

Jadi, jawaban yang tepat adalah A.

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