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∫ 2 4 ​ ( 4 x 3 + 9 x − 2 ) d x =

 

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begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell integral subscript 2 superscript 4 left parenthesis 4 x cubed plus 9 x minus 2 right parenthesis space d x end cell equals cell open square brackets x to the power of 4 plus 9 over 2 x squared minus 2 x close square brackets subscript 2 superscript 4 end cell row blank equals cell open parentheses 4 close parentheses to the power of 4 plus 9 over 2 open parentheses 4 close parentheses squared minus 2 open parentheses 4 close parentheses minus open parentheses open parentheses 2 close parentheses to the power of 4 plus 9 over 2 open parentheses 2 close parentheses squared minus 2 open parentheses 2 close parentheses close parentheses end cell row blank equals cell 256 plus 9 over 2 open parentheses 16 close parentheses minus 8 minus open parentheses 16 plus 9 over 2 open parentheses 4 close parentheses minus 4 close parentheses end cell row blank equals cell 256 plus 72 minus 8 minus open parentheses 16 plus 18 minus 4 close parentheses end cell row blank equals cell 320 minus 30 end cell row blank equals 290 end table end style

Jadi,  integral subscript 2 superscript 4 left parenthesis size 14px 4 size 14px x to the power of size 14px 3 size 14px plus size 14px 9 size 14px x size 14px minus size 14px 2 size 14px right parenthesis size 14px dx size 14px equals size 14px 290

 

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