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Hasil dari =...

Pertanyaan

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

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

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

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

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

  5. 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 xequals 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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