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Diketahui  ∫a3​(3x2+2x+1)dx=25. Nilai 21​a adalah ....

Pertanyaan

Diketahui  begin mathsize 14px style integral subscript a superscript 3 open parentheses 3 x squared plus 2 x plus 1 close parentheses d x equals 25 end style. Nilai begin mathsize 14px style 1 half a end style adalah ....

  1. ....space space 

  2. ....space space 

S. Indah

Master Teacher

Mahasiswa/Alumni Universitas Lampung

Jawaban terverifikasi

Jawaban

Nilai begin mathsize 14px style 1 half a end style adalah 1.

Pembahasan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell integral subscript a superscript 3 left parenthesis 3 x squared plus 2 x plus 1 right parenthesis d x end cell equals 25 row cell open square brackets x cubed plus x squared plus x close square brackets subscript a superscript 3 end cell equals 25 row cell open parentheses 3 cubed plus 3 squared plus 3 close parentheses minus open parentheses a cubed plus a squared plus a close parentheses end cell equals 25 row cell 39 minus 25 end cell equals cell a squared plus a squared plus a end cell row 0 equals cell a squared plus a squared plus a minus 14 end cell row a equals 2 row cell 1 half a end cell equals 1 row blank blank blank row blank blank blank end table end style

Jadi, Nilai begin mathsize 14px style 1 half a end style adalah 1.

255

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