Hasil dari dapat dicari dengan metode substitusi. Sehingga diperoleh Misalkan Jadi Jadi, (Tidak ada di pilihan jawaban).

Hasil dari =...

Pertanyaan

Hasil dari $integral 12 x left parenthesis 3 minus x squared right parenthesis to the power of 4 d x$ =...

$negative 5 over 3 x open parentheses 3 minus 2 x squared close parentheses to the power of 5 plus C$
$3 over 5 x open parentheses 3 minus 2 x squared close parentheses to the power of 5 plus C$
$negative 5 over 3 open parentheses 3 minus 2 x squared close parentheses to the power of 5 plus C$
$negative 3 over 5 open parentheses 3 minus 2 x squared close parentheses to the power of 5 plus C$
$3 over 5 open parentheses 3 minus 2 x squared close parentheses to the power of 5 plus C$

Pembahasan Soal:

Hasil dari $integral 12 x left parenthesis 3 minus x squared right parenthesis to the power of 4 d x$ dapat dicari dengan metode substitusi. Sehingga diperoleh

Misalkan $u equals 3 minus x squared$

$fraction numerator d u over denominator d x end fraction equals negative 2 x$

$d u equals negative 2 x d x$

$fraction numerator d u over denominator negative 2 end fraction equals x d x$

Jadi $integral 12 x left parenthesis 3 minus x squared right parenthesis to the power of 4 d x equals integral 12 left parenthesis 3 minus x squared right parenthesis to the power of 4 x d x$

$equals integral 12 u to the power of 4 fraction numerator d u over denominator negative 2 end fraction$

$equals negative 6 integral u to the power of 4 d u$

$equals fraction numerator negative 6 over denominator 5 end fraction u to the power of 5 plus C$

$equals fraction numerator negative 6 over denominator 5 end fraction left parenthesis 3 minus x squared right parenthesis to the power of 5 plus C$

Jadi, $integral 12 x left parenthesis 3 minus x squared right parenthesis to the power of 4 d x$ $equals fraction numerator negative 6 over denominator 5 end fraction left parenthesis 3 minus x squared right parenthesis to the power of 5 plus C$
(Tidak ada di pilihan jawaban).

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 03 Juni 2021

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