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begin mathsize 14px style integral subscript 0 superscript 2 open parentheses x cubed minus 8 x squared plus 6 x minus 3 close parentheses d x end style = ....

  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 

Jawaban:

Ingat rumus integral fungsi aljabar begin mathsize 14px style integral x to the power of n d x equals fraction numerator 1 over denominator n plus 1 end fraction x to the power of n plus 1 end exponent space comma space a s a l k a n space x not equal to negative 1 end style.

begin mathsize 14px style integral subscript 0 superscript 2 open parentheses x cubed minus 8 x squared plus 6 x minus 3 close parentheses d x end style = begin mathsize 14px style x to the power of 4 over 4 minus fraction numerator 8 x cubed over denominator 3 end fraction plus fraction numerator 6 x squared over denominator 2 end fraction minus 3 x space left enclose table row cell x equals 2 end cell row cell x equals 0 end cell end table end enclose end style  

begin mathsize 14px style 16 over 4 minus 64 over 3 plus 24 over 2 minus 6 space minus space 0 end style 

begin mathsize 14px style 4 minus 21 1 third plus 12 minus 6 end style 

begin mathsize 14px style negative 11 1 third end style

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

Jawaban yang benar B.

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