Roboguru
SD
SMP
SMA
UTBK/SNBT

Iklan

Iklan

Pertanyaan

hasil dari ∫ 8 x ( 6 x − 1 ) 3 1 ​ d x = .....

hasil dari

  1. x left parenthesis 6 x minus 1 right parenthesis to the power of 4 over 3 end exponent minus 1 over 14 left parenthesis 6 x minus 1 right parenthesis to the power of 7 over 3 end exponent plus c

  2. undefined

  3. x left parenthesis 6 x minus 1 right parenthesis to the power of 4 over 3 end exponent plus 4 over 7 left parenthesis 6 x minus 1 right parenthesis to the power of 7 over 3 end exponent plus C

  4. 6 x left parenthesis 6 x minus 1 right parenthesis to the power of 4 over 3 end exponent minus 24 over 7 left parenthesis 6 x minus 1 right parenthesis to the power of 7 over 3 end exponent plus C

  5. 6 x left parenthesis 6 x minus 1 right parenthesis to the power of 4 over 3 end exponent plus 24 over 7 left parenthesis 6 x minus 1 right parenthesis to the power of 7 over 3 end exponent plus C

Ke roboguru plus

Iklan

I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Iklan

Pembahasan

Jawaban A Misalkan : u =8 x maka du =8 dx maka : Sehingga,

Jawaban A

Misalkan :

u=8x maka du=8 dx

d v equals left parenthesis 6 x minus 1 right parenthesis to the power of 1 third end exponent space d x maka :

v space equals integral left parenthesis 6 x minus 1 right parenthesis to the power of 1 third end exponent d x

equals 1 over 6 integral open parentheses 6 x minus 1 close parentheses to the power of 1 third end exponent d x

equals 1 over 6 integral open parentheses 6 x minus 1 close parentheses to the power of 1 third end exponent d left parenthesis 6 x minus 1 right parenthesis d x

equals 1 over 6.3 over 4 left parenthesis 6 x minus 1 right parenthesis to the power of 4 over 3 end exponent

equals 1 over 8 left parenthesis 6 x minus 1 right parenthesis to the power of 4 over 3 end exponent

 

Sehingga,

integral 8 x left parenthesis 6 x minus 1 right parenthesis to the power of 1 third end exponent d x

equals 8 x times 1 over 8 left parenthesis 6 x minus 1 right parenthesis to the power of 4 over 3 end exponent minus integral 1 over 8 left parenthesis 6 x minus 1 right parenthesis to the power of 4 over 3 end exponent times 8 space d x

equals x left parenthesis 6 x minus 1 right parenthesis to the power of 4 over 3 end exponent minus integral left parenthesis 6 x minus 1 right parenthesis to the power of 4 over 3 end exponent d x

equals x left parenthesis 6 x minus 1 right parenthesis to the power of 4 over 3 end exponent minus 1 over 6 integral left parenthesis 6 x minus 1 right parenthesis to the power of 4 over 3 end exponent d left parenthesis 6 x minus 1 right parenthesis

equals x left parenthesis 6 x minus 1 right parenthesis to the power of 4 over 3 end exponent minus 1 over 6 times 3 over 7 left parenthesis 6 x minus 1 right parenthesis to the power of 7 over 3 end exponent plus c

equals x left parenthesis 6 x minus 1 right parenthesis to the power of 4 over 3 end exponent minus 1 over 14 left parenthesis 6 x minus 1 right parenthesis to the power of 7 over 3 end exponent plus c

Latihan Bab

Integral Fungsi Trigonometri

Integral Substitusi Trigonometri

Integral Tentu

Integral Parsial

Perdalam pemahamanmu bersama Master Teacher
di sesi Live Teaching, GRATIS!

Iklan

Iklan

Gold Icon

Klaim Gold gratis sekarang!

Dengan Gold kamu bisa tanya soal ke Forum sepuasnya, lho.

Pertanyaan serupa

Hasil dari ∫ 3 x ( 6 − x ) 3 d x adalah ....

Jawaban terverifikasi

Hasil dari ∫ e x cos 2 x ​ d x adalah ....

Jawaban terverifikasi

Iklan

Iklan

Tentukan integral berikut dengan integral parsial a. ∫ x ( x + 1 ) 3 d x

Jawaban terverifikasi

Hasil dari ∫ x ( x + 4 ) 5 dx adalah ...

Jawaban terverifikasi

Tentukan integral berikut dengan integral parsial b. ∫ x 3 ( x + 1 ) 3 d x

Jawaban terverifikasi

Iklan

Iklan

Ruangguru

RUANGGURU HQ

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

Coba GRATIS Aplikasi Roboguru

Download di Google Play

Coba GRATIS Aplikasi Ruangguru

Download di Google PlayDownload di AppstoreDownload di App Gallery

Produk Ruangguru

Produk Lainnya

Bantuan & Panduan

Fitur Roboguru

Topik Roboguru

Hubungi Kami

Ruangguru WhatsApp

081578200000

Email info@ruangguru.com

info@ruangguru.com

Contact 02140008000

02140008000

Ikuti Kami

©2023 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia