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Pertanyaan

integral x open parentheses 3 x squared plus 5 close parentheses to the power of 4 d x equals horizontal ellipsis

  1. 1 over 30 open parentheses 3 x squared plus 5 close parentheses to the power of 5 plus C

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

  3. 1 over 30 open parentheses x squared plus 5 close parentheses to the power of 4 plus C

  4. 1 fourth open parentheses 3 x squared plus 5 close parentheses to the power of 5 plus C

  5. 1 over 30 open parentheses 5 x squared plus 5 close parentheses to the power of 5 plus C

Y. Laksmi

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

Jawaban terverifikasi

Pembahasan

Gunakan integral subtitusi

u equals 3 x squared plus 5  fraction numerator d u over denominator d x end fraction equals 6 x rightwards double arrow d x equals fraction numerator d u over denominator 6 x end fraction  integral x open parentheses 3 x squared plus 5 close parentheses to the power of 4 d x equals integral x open parentheses 3 x squared plus 5 close parentheses to the power of 4 fraction numerator d u over denominator 6 x end fraction  equals integral 1 over 6 u to the power of 4 space d u  equals 1 over 6.1 fifth u to the power of 5 plus C  equals 1 over 30 open parentheses 3 x squared plus 5 close parentheses to the power of 5 plus C

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