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∫ 2 − 4 ​ ( 6 x 2 − 6 x − 1 ) d x =

 

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  begin mathsize 14px style integral subscript 2 superscript 4 6 x squared minus 6 x minus 1 d x equals 74 end style

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Soal tersebut tidak dapat dikerjakan karena batas atas lebih kecil dari batas bawah, kemungkinan yang dimaksud dalam soal Sehingga apabila soal tersebut diselesaikan Jadi,

Soal tersebut tidak dapat dikerjakan karena batas atas lebih kecil dari batas bawah, kemungkinan yang dimaksud dalam soal

  begin mathsize 14px style integral subscript 2 superscript 4 6 x squared minus 6 x minus 1 d x equals... end style

Sehingga apabila soal tersebut diselesaikan

 begin mathsize 14px style integral subscript 2 superscript 4 6 x squared minus 6 x minus 1 d x equals open square brackets fraction numerator 6 over denominator 2 plus 1 end fraction x to the power of 2 plus 1 end exponent minus fraction numerator 6 over denominator 1 plus 1 end fraction x to the power of 1 plus 1 end exponent minus x close square brackets to the power of 4 subscript 2 subscript blank end subscript  space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals open square brackets 6 over 3 x cubed minus 6 over 2 x squared minus x close square brackets to the power of 4 subscript 2 subscript blank end subscript space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals open square brackets 2 x cubed minus 3 x squared minus x close square brackets to the power of 4 subscript 2 subscript blank end subscript space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals open square brackets 2 left parenthesis 4 right parenthesis cubed minus 3 left parenthesis 4 right parenthesis squared minus 4 close square brackets to the power of 4 subscript 2 subscript blank end subscript minus open square brackets 2 left parenthesis 2 right parenthesis cubed minus 3 left parenthesis 2 right parenthesis squared minus 2 close square brackets to the power of 4 subscript 2 subscript blank end subscript space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals open square brackets 2 left parenthesis 64 right parenthesis minus 3 left parenthesis 16 right parenthesis minus 4 close square brackets minus open square brackets 2 left parenthesis 8 right parenthesis minus 3 left parenthesis 4 right parenthesis minus 2 close square brackets space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals open square brackets 128 minus 48 minus 4 close square brackets minus open square brackets 16 minus 12 minus 2 close square brackets space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals open square brackets 76 close square brackets minus open square brackets 2 close square brackets space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 74 end style

 

Jadi,  begin mathsize 14px style integral subscript 2 superscript 4 6 x squared minus 6 x minus 1 d x equals 74 end style

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