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Hasil dari adalah...

Pertanyaan

Hasil dari integral subscript 1 superscript 2 open parentheses 2 x squared minus 7 x minus 4 close parentheses space d x adalah...

  1. negative 9 5 over 6

  2. negative 10 1 over 6

  3. negative 10 5 over 6

  4. negative 9 1 over 6

  5. negative 8 1 over 6

Pembahasan Soal:

Ingat: integral a x to the power of n space d x equals fraction numerator a over denominator n plus 1 end fraction x to the power of n plus 1 end exponent plus C integral subscript a superscript b f left parenthesis x right parenthesis space d x equals F left parenthesis b right parenthesis minus F left parenthesis a right parenthesis

Maka,

table attributes columnalign right center left columnspacing 0px end attributes row cell integral subscript 1 superscript 2 open parentheses 2 x squared minus 7 x minus 4 close parentheses space d x end cell equals cell fraction numerator 2 over denominator 2 plus 1 end fraction x to the power of 2 plus 1 end exponent minus fraction numerator 7 over denominator 1 plus 1 end fraction x to the power of 1 plus 1 end exponent minus fraction numerator 4 over denominator 0 plus 1 end fraction x to the power of 0 plus 1 end exponent vertical line subscript 1 superscript 2 end cell row blank equals cell 2 over 3 x cubed minus 7 over 2 x squared minus 4 x vertical line subscript 1 superscript 2 end cell row blank equals cell open parentheses 2 over 3 open parentheses 2 close parentheses cubed minus 7 over 2 open parentheses 2 close parentheses squared minus 4 open parentheses 2 close parentheses close parentheses minus open parentheses 2 over 3 open parentheses 1 close parentheses cubed minus 7 over 2 open parentheses 1 close parentheses squared minus 4 open parentheses 1 close parentheses close parentheses end cell row blank equals cell fraction numerator 16 minus 2 over denominator 3 end fraction plus fraction numerator negative 28 plus 7 over denominator 2 end fraction minus 8 plus 4 end cell row blank equals cell fraction numerator 28 minus 63 minus 24 over denominator 6 end fraction end cell row blank equals cell negative 59 over 6 end cell row blank equals cell negative 9 5 over 6 end cell end table

Jadi, jawaban yang tepat adalah A.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 04 Juni 2021

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