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Pertanyaan

Hasil dari integral space 12 x cubed open parentheses x to the power of 4 plus 5 close parentheses to the power of 8 d x equals...

  1. 1 half open parentheses x to the power of 4 plus 5 close parentheses to the power of 9 plus C

  2. 1 third open parentheses x to the power of 4 plus 5 close parentheses to the power of 9 plus C

  3. 1 over 6 open parentheses x to the power of 4 plus 5 close parentheses to the power of 9 plus C

  4. 2 over 3 open parentheses x to the power of 4 plus 5 close parentheses to the power of 9 plus C

  5. 4 over 9 open parentheses x to the power of 4 plus 5 close parentheses to the power of 9 plus C

K. Putri

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Ganesha

Jawaban terverifikasi

Pembahasan

Misalkan :

u equals x to the power of 4 plus 5  d u equals 4 x cubed d x

Maka,

integral 12 x cubed open parentheses x to the power of 4 plus 5 close parentheses d x equals integral 12 x cubed open parentheses u close parentheses to the power of 8 fraction numerator d u over denominator 4 x cubed end fraction  equals 3 integral space u space d u  equals 3 over 9 open parentheses u to the power of 9 close parentheses plus C  equals 1 third open parentheses x to the power of 4 plus 5 close parentheses to the power of 9 plus C

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