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Nilai dari begin mathsize 14px style integral subscript 1 superscript 3 open parentheses 6 x squared minus 4 x plus 5 close parentheses space d x end style adalah ...

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A. Acfreelance

Master Teacher

Mahasiswa/Alumni Universitas Indraprasta PGRI

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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 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell integral subscript 1 superscript 3 open parentheses 6 x squared minus 4 x plus 5 close parentheses space d x end cell row blank equals cell 6 integral subscript 1 superscript 3 x squared space d x minus 4 integral subscript 1 superscript 3 x space d x plus integral subscript 1 superscript 3 5 space d x end cell row blank equals cell 6 open square brackets 1 third x cubed close square brackets subscript 1 superscript 3 minus 4 open square brackets 1 half x squared close square brackets subscript 1 superscript 3 plus 5 open square brackets x close square brackets subscript 1 superscript 3 end cell row blank equals cell 2 open parentheses 3 cubed minus 1 cubed close parentheses minus 2 open parentheses 3 squared minus 1 squared close parentheses plus 5 open parentheses 3 minus 1 close parentheses end cell row blank equals cell 2 times 26 minus 2 times 8 plus 5 times 2 end cell row blank equals cell 52 minus 16 plus 10 end cell row blank equals 46 end table end style 

Sehingga, begin mathsize 14px style integral subscript 1 superscript 3 open parentheses 6 x squared minus 4 x plus 5 close parentheses space d x equals 46 end style.

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