Iklan

Pertanyaan

Hasil dari ∫ x 4 − x ​ d x = … + 3 m u .

Hasil dari  

  1. 2 over 15 left parenthesis 3 x plus 8 right parenthesis left parenthesis 4 minus x right parenthesis to the power of 3 over 2 end exponent plus C 

  2. 1 over 15 left parenthesis 8 minus 3 x right parenthesis left parenthesis 4 minus x right parenthesis to the power of 3 over 2 end exponent plus C 

  3. negative 1 over 15 left parenthesis 8 minus 3 x right parenthesis left parenthesis 4 minus x right parenthesis to the power of 3 over 2 end exponent plus C 

  4. negative 1 over 15 left parenthesis 3 x plus 8 right parenthesis left parenthesis 4 minus x right parenthesis to the power of 3 over 2 end exponent plus C 

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

00

:

22

:

52

:

53

Klaim

Iklan

T. Prita

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

Jawaban terverifikasi

Jawaban

tidak ada jawaban yang tepat.

tidak ada jawaban yang tepat.

Pembahasan

Bentuk integral di atas terdiri dari dua fungsi. Maka dapat dimisalkan Penyelesaiannya adalah Dengan demikian, hasil dari integral di atas adalah . Jadi, tidak ada jawaban yang tepat.

Bentuk integral di atas terdiri dari dua fungsi. Maka dapat dimisalkan

table attributes columnalign right center left columnspacing 0px end attributes row u equals x row cell fraction numerator d u over denominator d x end fraction end cell equals 1 row cell d u end cell equals cell d x end cell end table

table attributes columnalign right center left columnspacing 0px end attributes row cell d v end cell equals cell square root of 4 minus x end root space d x end cell row cell integral d v end cell equals cell integral left parenthesis 4 minus x right parenthesis to the power of 1 half end exponent d x end cell row v equals cell negative 2 over 3 left parenthesis 4 minus x right parenthesis to the power of 3 over 2 end exponent end cell end table  

Penyelesaiannya adalah

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell integral x square root of 4 minus x end root space d x end cell row blank equals cell u v minus integral v space d u end cell row blank equals cell x open parentheses negative 2 over 3 left parenthesis 4 minus x right parenthesis to the power of 3 over 2 end exponent close parentheses minus integral open parentheses negative 2 over 3 left parenthesis 4 minus x right parenthesis to the power of 3 over 2 end exponent close parentheses space d x end cell row blank equals cell negative 2 over 3 x left parenthesis 4 minus x right parenthesis to the power of 3 over 2 end exponent plus 2 over 3 integral left parenthesis 4 minus x right parenthesis to the power of 3 over 2 end exponent d x end cell row blank equals cell negative 2 over 3 x left parenthesis 4 minus x right parenthesis to the power of 3 over 2 end exponent plus 2 over 3 open parentheses negative 2 over 5 close parentheses left parenthesis 4 minus x right parenthesis to the power of 5 over 2 end exponent plus C end cell row blank equals cell negative 2 over 3 left parenthesis 4 minus x right parenthesis to the power of 3 over 2 end exponent open square brackets x plus 2 over 5 left parenthesis 4 minus x right parenthesis close square brackets plus C end cell row blank equals cell negative 2 over 3 left parenthesis 4 minus x right parenthesis to the power of 3 over 2 end exponent open square brackets x plus 8 over 5 minus 2 over 5 x close square brackets plus C end cell row blank equals cell negative 2 over 3 left parenthesis 4 minus x right parenthesis to the power of 3 over 2 end exponent open square brackets 3 over 5 x plus 8 over 5 close square brackets plus C end cell row blank equals cell negative 2 over 3 left parenthesis 4 minus x right parenthesis to the power of 3 over 2 end exponent open parentheses 1 fifth close parentheses open parentheses 3 x plus 8 close parentheses plus C end cell row blank equals cell negative 2 over 15 left parenthesis 3 x plus 8 right parenthesis left parenthesis 4 minus x right parenthesis to the power of 3 over 2 end exponent plus C end cell end table  

Dengan demikian, hasil dari integral di atas adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell negative 2 over 15 left parenthesis 3 x plus 8 right parenthesis left parenthesis 4 minus x right parenthesis to the power of 3 over 2 end exponent plus C end cell end table.

Jadi, tidak ada jawaban yang tepat.

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

1

Iklan

Pertanyaan serupa

Hasil dari ∫ 0 2 ​ 2 1 ​ x ( x − 1 ) 3 d x adalah ....

6

5.0

Jawaban terverifikasi

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

Hubungi Kami

Ruangguru WhatsApp

+62 815-7441-0000

Email info@ruangguru.com

[email protected]

Contact 02130930000

02130930000

Ikuti Kami

©2025 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia