Pertanyaan

Integral dari ∫ 0 2 ( 3 x 2 − 3 x + 7 ) d x adalah ....

Integral dari $\int_{0}^{2} (3 x^{2} - 3 x + 7) d x$ adalah .... $\;$

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

Klaim

K. Prameswari

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

Jawaban terverifikasi

Jawaban

integral subscript 0 superscript 2 table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses 3 x squared minus 3 x plus 7 close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank d end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 16 end table

Pembahasan

Ingat bahwa Sehingga dapat diperoleh Jadi,

Ingat bahwa

integral subscript a superscript b f open parentheses x close parentheses d x equals F open parentheses b close parentheses minus F open parentheses a close parentheses

Sehingga dapat diperoleh

$table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell integral subscript 0 superscript 2 open parentheses 3 x squared minus 3 x plus 7 close parentheses d x end cell row blank equals cell open square brackets fraction numerator 3 over denominator 2 plus 1 end fraction x to the power of 2 plus 1 end exponent minus fraction numerator 3 over denominator 1 plus 1 end fraction x to the power of 1 plus 1 end exponent plus 7 x close square brackets subscript 0 superscript 2 end cell row blank equals cell open square brackets x cubed minus 3 over 2 x squared plus 7 x close square brackets subscript 0 superscript 2 end cell row blank equals cell open parentheses 2 cubed minus open parentheses 3 over 2 cross times 2 squared close parentheses plus open parentheses 7 cross times 2 close parentheses close parentheses minus open parentheses 0 cubed minus open parentheses 3 over 2 cross times 0 squared close parentheses plus open parentheses 7 cross times 0 close parentheses close parentheses end cell row blank equals cell open parentheses 8 minus 6 plus 14 close parentheses minus open parentheses 0 minus 0 plus 0 close parentheses end cell row blank equals 16 end table$

Jadi,