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Pertanyaan

∫ 0 2 ​ ( x 3 − 8 x 2 + 6 x − 3 ) d x = ....

 = ....

  1. begin mathsize 14px style bevelled 34 over 3 end style 

  2. begin mathsize 14px style negative bevelled 34 over 3 end style 

  3. begin mathsize 14px style negative bevelled 17 over 3 end style 

  4. begin mathsize 14px style negative bevelled 64 over 3 end style 

  5. begin mathsize 14px style bevelled 17 over 3 end style 

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P. Anggrayni

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Jawaban terverifikasi

Jawaban

jawaban yang benar adalah B.

jawaban yang benar adalah B.

Pembahasan

Ingat rumus integral fungsi aljabar: Maka: Jadi, jawaban yang benar adalah B.

Ingat rumus integral fungsi aljabar:

integral a x to the power of n 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 

Maka:

table attributes columnalign right center left columnspacing 0px end attributes row cell integral subscript 0 superscript 2 open parentheses x cubed minus 8 x squared plus 6 x minus 3 close parentheses d x end cell equals cell right enclose 1 fourth x to the power of 4 minus 8 over 3 x cubed plus 3 x squared minus 3 x end enclose subscript 0 superscript 2 end cell row blank equals cell open parentheses 1 fourth times 2 to the power of 4 minus 8 over 3 times 2 cubed plus 3 times 2 squared minus 3 times 2 close parentheses end cell row blank blank cell negative open parentheses 1 fourth times 0 to the power of 4 minus 8 over 3 times 0 cubed plus 3 times 0 squared minus 3 times 0 close parentheses end cell row blank equals cell open parentheses 1 fourth times 16 minus 8 over 3 times 8 plus 3 times 4 minus 6 close parentheses end cell row blank blank cell negative open parentheses 1 fourth times 0 minus 8 over 3 times 0 plus 3 times 0 minus 0 close parentheses end cell row blank equals cell open parentheses 4 minus 64 over 3 plus 12 minus 6 close parentheses end cell row blank blank cell negative open parentheses 0 minus 0 plus 0 minus 0 close parentheses end cell row blank equals cell open parentheses 10 minus 64 over 3 close parentheses minus 0 end cell row blank equals cell 30 over 3 minus 64 over 3 end cell row blank equals cell negative 34 over 3 end cell end table 

Jadi, jawaban yang benar adalah B.

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