Pertanyaan

Jika hasil ∫ 1 3 ( 6 x 2 + a x − 5 ) d x = 18 , nilai a =

Jika hasil $\int_{1}^{3} (6 x^{2} + a x - 5) d x = 18$ , nilai $a$ =

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah E.

Pembahasan

Jadi, jawaban yang tepat adalah E.

$table attributes columnalign right center left columnspacing 2px end attributes row cell integral subscript 1 superscript 3 open parentheses 6 x squared plus a x minus 5 close parentheses d x end cell equals cell open square brackets 2 x cubed plus 1 half a x squared minus 5 x close square brackets subscript 1 superscript 3 end cell row 18 equals cell open parentheses 2 open parentheses 3 close parentheses cubed plus 1 half a open parentheses 3 close parentheses squared minus 5 open parentheses 3 close parentheses close parentheses minus end cell row blank blank cell open parentheses 2 left parenthesis 1 right parenthesis cubed plus fraction numerator 1 over denominator 2 end fraction a left parenthesis 1 right parenthesis squared minus 5 left parenthesis 1 right parenthesis close parentheses end cell row 18 equals cell open parentheses 54 plus 9 over 2 a minus 15 close parentheses minus open parentheses 2 plus 1 half a minus 5 close parentheses end cell row 18 equals cell open parentheses 39 plus 9 over 2 a close parentheses minus open parentheses negative 3 plus 1 half a close parentheses end cell row 18 equals cell 42 plus 8 over 2 a end cell row cell 18 minus 42 end cell equals cell 4 a end cell row cell negative 24 end cell equals cell 4 a end cell row cell fraction numerator negative 24 over denominator 4 end fraction end cell equals a row cell negative 6 end cell equals a end table$

Jadi, jawaban yang tepat adalah E.