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Diketahui . Nilai dari  adalah ....

Pertanyaan

Diketahui begin mathsize 14px style integral subscript a superscript 3 open parentheses 3 x squared plus 2 x plus 1 close parentheses d x equals 25 end style. Nilai dari begin mathsize 14px style 3 a end style adalah ....

  1. ...begin mathsize 14px style space end style 

  2. ...begin mathsize 14px style space end style 

Pembahasan Soal:

Integral atau anti turunan memenuhi algoritma berikut

table attributes columnalign right center left columnspacing 0px end attributes row cell size 14px integral subscript size 14px a superscript size 14px b k x to the power of n size 14px d size 14px x end cell size 14px equals cell right enclose fraction numerator size 14px k size 14px x to the power of size 14px n size 14px minus size 14px 1 end exponent over denominator size 14px n size 14px minus size 14px 1 end fraction end enclose subscript size 14px a superscript size 14px b end cell row blank size 14px equals cell fraction numerator size 14px k size 14px b to the power of size 14px n size 14px minus size 14px 1 end exponent over denominator size 14px n size 14px minus size 14px 1 end fraction size 14px minus fraction numerator size 14px k size 14px a to the power of size 14px n size 14px minus size 14px 1 end exponent over denominator size 14px n size 14px minus size 14px 1 end fraction end cell end table

maka

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell integral subscript a superscript 3 open parentheses 3 x squared plus 2 x plus 1 close parentheses d x end cell equals 25 row cell right enclose 3 over 3 x cubed plus 2 over 2 x squared plus x end enclose subscript a superscript 3 end cell equals 25 row cell open parentheses 3 cubed plus 3 squared plus 3 close parentheses minus open parentheses a cubed plus a squared plus a close parentheses end cell equals 25 row cell 39 minus open parentheses a cubed plus a squared plus a close parentheses end cell equals 25 row cell open parentheses a cubed plus a squared plus a close parentheses end cell equals 14 row a equals 2 row blank rightwards arrow cell 3 a equals 3 cross times 2 end cell row blank equals 6 row blank blank blank end table end style

Jadi nilai dari begin mathsize 14px style 3 a equals 6 end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 15 Maret 2021

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