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Nilai dari ∫ 0 1 ​ ( x + 1 ) ( x 2 + 2 x − 1 ) 4 d x adalah ....

Nilai dari  adalah ....  

  1. ...undefined 

  2. ...undefined 

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I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

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Pembahasan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row u equals cell x squared plus 2 x minus 1 end cell row cell straight d u end cell equals cell 2 x plus 2 end cell row cell straight d u end cell equals cell 2 left parenthesis x plus 1 right parenthesis end cell row cell x plus 1 end cell equals cell fraction numerator straight d u over denominator 2 end fraction end cell end table end style 

 begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell integral subscript 0 superscript 1 1 half u to the power of 4 d u end cell equals cell open square brackets 1 half u to the power of 5 over 5 close square brackets subscript x equals 0 end subscript superscript x equals 1 end superscript end cell row blank equals cell open square brackets open parentheses x squared plus 2 x minus 1 close parentheses to the power of 5 over 10 close square brackets subscript 0 superscript 1 end cell row blank equals cell 1 over 10 open parentheses left parenthesis 1 squared plus 2 left parenthesis 1 right parenthesis minus 1 right parenthesis to the power of 5 minus left parenthesis 0 to the power of 2 end exponent plus 2 left parenthesis 0 right parenthesis minus 1 right parenthesis to the power of 5 close parentheses end cell row blank equals cell 1 over 10 left parenthesis 32 minus left parenthesis negative 1 right parenthesis right parenthesis end cell row blank equals cell 33 over 10 end cell end table end style  

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