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Tentukan nilai , jika .

Tentukan nilai begin mathsize 14px style a end style, jika begin mathsize 14px style integral subscript negative 2 end subscript superscript a space open parentheses 2 x minus 5 close parentheses space d x equals 36 end style.

Jawaban:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell integral subscript negative 2 end subscript superscript a space open parentheses 2 x minus 5 close parentheses space d x end cell equals cell open square brackets 2 over 2 x squared minus 5 x close square brackets subscript negative 2 end subscript superscript a end cell row 36 equals cell open square brackets x squared minus 5 x close square brackets subscript negative 2 end subscript superscript a end cell row 36 equals cell open square brackets a squared minus 5 a close square brackets minus open square brackets open parentheses negative 2 close parentheses squared minus 5 open parentheses negative 2 close parentheses close square brackets end cell row 36 equals cell open square brackets a squared minus 5 a close square brackets minus open square brackets 14 close square brackets end cell row blank rightwards double arrow cell a squared minus 5 a minus 50 equals 0 end cell row cell open parentheses a minus 10 close parentheses open parentheses a plus 5 close parentheses end cell equals 0 row a equals cell 10 space atau end cell row a equals cell negative 5 end cell end table end style 

Karena begin mathsize 14px style a end style adalah batas atas integral, maka nilai yang memenuhi adalah begin mathsize 14px style a equals 10 end style.

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