Pertanyaan

Jika ∫ 0 2 ( ( m + 1 ) x 2 + 2 m x + 3 ) d x = 54 , maka nilai 10 m = ...

Jika $\int_{0}^{2} ((m + 1) x^{2} + 2 m x + 3) d x = 54$ , maka nilai $10 m =$ ...

E. Dwi

Master Teacher

Mahasiswa/Alumni Universitas Sriwijaya

Jawaban terverifikasi

Jawaban

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Pembahasan

Nilai : Sehingga, nilai adalah . Jadi, tidak ada pilihan jawaban yang tepat.

$table attributes columnalign right center left columnspacing 0px end attributes row cell integral subscript 0 superscript 2 open parentheses open parentheses m plus 1 close parentheses x squared plus 2 m x plus 3 close parentheses straight d x end cell equals 54 row cell open square brackets fraction numerator open parentheses m plus 1 close parentheses over denominator 3 end fraction x cubed plus fraction numerator up diagonal strike 2 m over denominator up diagonal strike 2 end fraction x squared plus 3 x plus C close square brackets subscript 0 superscript 2 end cell equals 54 row cell open parentheses fraction numerator open parentheses m plus 1 close parentheses over denominator 3 end fraction open parentheses 2 close parentheses cubed plus m open parentheses 2 close parentheses squared plus 3 open parentheses 2 close parentheses plus C close parentheses minus open parentheses 0 plus C close parentheses end cell equals 54 row cell fraction numerator 8 open parentheses m plus 1 close parentheses over denominator 3 end fraction plus 4 m plus 6 end cell equals 54 row cell fraction numerator 8 m plus 8 over denominator 3 end fraction plus 4 m plus 6 end cell equals 54 row cell fraction numerator 8 m plus 8 plus 12 m plus 18 over denominator 3 end fraction end cell equals 54 row cell 20 m plus 26 end cell equals 54 row cell 20 m end cell equals cell 54 minus 26 end cell row cell 20 m end cell equals 28 row m equals cell 28 over 20 end cell row m equals cell 7 over 5 end cell end table$

Nilai 10 m :

table attributes columnalign right center left columnspacing 0px end attributes row cell 10 m end cell equals cell 10 open parentheses 7 over 5 close parentheses end cell row blank equals cell 70 over 5 end cell row blank equals 14 end table

Sehingga, nilai 10 m adalah .

Jadi, tidak ada pilihan jawaban yang tepat.