Pertanyaan

Hasil dari ∫ 1 2 ( 2 x 2 − 7 x − 4 ) d x adalah...

Hasil dari $\int_{1}^{2} (2 x^{2} - 7 x - 4) d x$ adalah...

H. Janatu

Master Teacher

Mahasiswa/Alumni Universitas Riau

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah A.

Pembahasan

Ingat: Maka, Jadi, jawaban yang tepat adalah A.

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.