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Nilai dari  adalah ...

Nilai dari begin mathsize 14px style integral subscript negative 1 end subscript superscript 1 open parentheses negative x cubed plus 2 x minus 1 close parentheses squared space d x end style adalah ...

  1. begin mathsize 14px style 332 over 105 end style 

  2. begin mathsize 14px style 342 over 105 end style 

  3. begin mathsize 14px style 352 over 105 end style 

  4. begin mathsize 14px style 372 over 105 end style 

  5. begin mathsize 14px style 392 over 105 end style 

Jawaban:

Ingat!

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell integral subscript a superscript b open square brackets f left parenthesis x right parenthesis plus-or-minus g left parenthesis x right parenthesis close square brackets space d x end cell equals cell integral subscript a superscript b f left parenthesis x right parenthesis space d x plus-or-minus integral subscript a superscript b g left parenthesis x right parenthesis space d x end cell row cell integral subscript a superscript b k f left parenthesis x right parenthesis space d x end cell equals cell k integral subscript a superscript b f left parenthesis x right parenthesis space d x end cell end table end style 

Maka,

begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell integral subscript negative 1 end subscript superscript 1 open parentheses negative x cubed plus 2 x minus 1 close parentheses squared space d x end cell row blank equals cell integral subscript negative 1 end subscript superscript 1 open parentheses x to the power of 6 minus 4 x to the power of 4 plus 2 x cubed plus 4 x squared minus 4 x plus 1 close parentheses space d x end cell row blank equals cell integral subscript negative 1 end subscript superscript 1 x to the power of 6 space d x minus 4 integral subscript negative 1 end subscript superscript 1 x to the power of 4 space d x plus 2 integral subscript negative 1 end subscript superscript 1 x cubed space d x plus 4 integral subscript negative 1 end subscript superscript 1 x squared space d x minus 4 integral subscript negative 1 end subscript superscript 1 x space d x plus integral subscript negative 1 end subscript superscript 1 1 space d x end cell row blank equals cell open square brackets 1 over 7 x to the power of 7 close square brackets subscript negative 1 end subscript superscript 1 minus 4 open square brackets 1 fifth x to the power of 5 close square brackets subscript negative 1 end subscript superscript 1 plus 2 open square brackets 1 fourth x to the power of 4 close square brackets subscript negative 1 end subscript superscript 1 plus 4 open square brackets 1 third x cubed close square brackets subscript negative 1 end subscript superscript 1 minus 4 open square brackets 1 half x squared close square brackets subscript negative 1 end subscript superscript 1 plus open square brackets x close square brackets subscript negative 1 end subscript superscript 1 end cell row blank equals cell 1 over 7 open parentheses 1 to the power of 7 minus open parentheses negative 1 close parentheses to the power of 7 close parentheses minus 4 over 5 open parentheses 1 to the power of 5 minus open parentheses negative 1 close parentheses to the power of 5 close parentheses plus 1 half open parentheses 1 to the power of 4 minus open parentheses negative 1 close parentheses to the power of 4 close parentheses plus 4 over 3 open parentheses 1 cubed minus open parentheses negative 1 close parentheses cubed close parentheses minus 2 open parentheses 1 squared minus open parentheses negative 1 close parentheses squared close parentheses plus open parentheses 1 minus open parentheses negative 1 close parentheses close parentheses end cell row blank equals cell 2 over 7 minus 8 over 5 plus 0 plus 8 over 3 minus 0 plus 2 end cell row blank equals cell 30 over 105 minus 168 over 105 plus 280 over 105 plus 210 over 105 end cell row blank equals cell 352 over 105 end cell end table end style 

Sehingga, begin mathsize 14px style integral subscript negative 1 end subscript superscript 1 open parentheses negative x cubed plus 2 x minus 1 close parentheses squared space d x equals 352 over 105 end style.

Jadi, jawaban yang tepat adalah C.

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