Pertanyaan

∫ x ( x + 4 ) 5 dx = ...

 

S. Amamah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

Misalkan: Sehingga:

Misalkan:

  begin mathsize 14px style u equals x plus 4 rightwards arrow d u equals d x x equals u minus 4 end style 

Sehingga:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell integral x open parentheses x plus 4 close parentheses to the power of 5 dx end cell equals cell integral open parentheses straight u minus 4 close parentheses straight u to the power of 5 space du end cell row blank equals cell integral straight u to the power of 6 minus 4 straight u to the power of 5 space du end cell row blank equals cell 1 over 7 straight u to the power of 7 minus 4 over 6 straight u to the power of 6 plus C end cell row blank equals cell 1 over 7 open parentheses straight x plus 4 close parentheses to the power of 7 minus 2 over 3 open parentheses straight x plus 4 close parentheses to the power of 6 plus C end cell row blank equals cell 1 over 21 open parentheses x plus 4 close parentheses to the power of 6 open square brackets 3 open parentheses x plus 4 close parentheses minus 14 close square brackets plus C end cell row blank equals cell 1 over 21 open parentheses x plus 4 close parentheses to the power of 6 open parentheses 3 x plus 12 minus 14 close parentheses plus C end cell row blank equals cell 1 over 21 open parentheses 3 x minus 2 close parentheses open parentheses x plus 4 close parentheses to the power of 6 plus C end cell row blank blank blank end table end style

129

4.3 (3 rating)

Putri Masitta

Pembahasan tidak lengkap

Iklan

Pertanyaan serupa

Selesaikan ∫ ( 3 x − 5 ) 12 d x

33

0.0

Jawaban terverifikasi

Iklan

RUANGGURU HQ

Jl. Dr. Saharjo No.161, Manggarai Selatan, Tebet, Kota Jakarta Selatan, Daerah Khusus Ibukota Jakarta 12860

Coba GRATIS Aplikasi Roboguru

Coba GRATIS Aplikasi Ruangguru

Download di Google PlayDownload di AppstoreDownload di App Gallery

Produk Ruangguru

Fitur Roboguru

Topik Roboguru

Hubungi Kami

Ruangguru WhatsApp

081578200000

Email info@ruangguru.com

info@ruangguru.com

Contact 02140008000

02140008000

Ikuti Kami

©2022 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia