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Pertanyaan

Hasil dari ∫ x ( 3 x − 5 ) 4 d x = ....

Hasil dari = ....

  1. begin mathsize 14px style negative 1 over 54 left parenthesis 1 plus 3 x right parenthesis left parenthesis 3 x minus 5 right parenthesis to the power of 5 plus C end style

  2. begin mathsize 14px style negative 1 over 108 left parenthesis 1 minus 3 x right parenthesis left parenthesis 3 x minus 5 right parenthesis to the power of 5 plus C end style

  3. begin mathsize 14px style negative 1 over 270 left parenthesis 1 plus 3 x right parenthesis left parenthesis 3 x minus 5 right parenthesis to the power of 5 plus C end style

  4. begin mathsize 14px style 1 over 108 left parenthesis 1 minus 3 x right parenthesis left parenthesis 3 x minus 5 right parenthesis to the power of 5 plus C end style

  5. begin mathsize 14px style 1 over 54 left parenthesis 1 plus 3 x right parenthesis left parenthesis 3 x minus 5 right parenthesis to the power of 5 plus C end style

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S. Intan

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

Jawaban terverifikasi

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Pembahasan

begin mathsize 14px style integral space x left parenthesis 3 x minus 5 right parenthesis to the power of 4 space d x equals integral space u space d v    u equals x space  d u equals d x    d v equals open parentheses 3 x minus 5 close parentheses to the power of 4 space d x  v equals integral open parentheses 3 x minus 5 close parentheses to the power of 4 d x equals 1 fifth.1 third open parentheses 3 x minus 5 close parentheses to the power of 5 equals 1 over 15 open parentheses 3 x minus 5 close parentheses to the power of 5    integral u space d v equals u. v space minus integral v space d u  equals x open parentheses 1 over 15 open parentheses 3 x minus 5 close parentheses to the power of 5 close parentheses minus integral 1 over 15 open parentheses 3 x minus 5 close parentheses to the power of 5 d x  equals 1 over 15 x open parentheses 3 x minus 5 close parentheses to the power of 5 minus 1 over 15 open parentheses 1 over 6 space.1 third open parentheses 3 x minus 5 close parentheses to the power of 6 close parentheses plus C  equals 1 over 15 x open parentheses 3 x minus 5 close parentheses to the power of 5 minus 1 over 270 open parentheses 3 x minus 5 close parentheses to the power of 6 plus C  equals 18 over 270 x open parentheses 3 x minus 5 close parentheses to the power of 5 minus 1 over 270 left parenthesis 3 x minus 5 right parenthesis open parentheses 3 x minus 5 close parentheses to the power of 5 plus C  equals negative 1 over 270 open parentheses 3 x minus 5 close parentheses to the power of 5 open parentheses negative 18 x plus open parentheses 3 x minus 5 close parentheses close parentheses plus C  equals negative 1 over 270 open parentheses 3 x minus 5 close parentheses to the power of 5 open parentheses negative 5 minus 15 x close parentheses plus C  equals negative 1 over 270 left parenthesis negative 5 right parenthesis left parenthesis 1 plus 3 x right parenthesis open parentheses 3 x minus 5 close parentheses to the power of 5 plus C  equals 1 over 54 left parenthesis 1 plus 3 x right parenthesis open parentheses 3 x minus 5 close parentheses to the power of 5 plus C  end style

Latihan Bab

Integral Fungsi Trigonometri

Integral Substitusi Trigonometri

Integral Tentu

Integral Parsial

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di sesi Live Teaching, GRATIS!

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