Iklan

Pertanyaan

Jika ∫ 2 5 ​ f ( x ) d x = 2 ​ , maka nilai ∫ 1 2 ​ x 2 1 ​ f ( 1 + x 2 ​ ) d x adalah ....

Jika , maka nilai  adalah ....

  1. fraction numerator square root of 2 over denominator 4 end fraction

  2. fraction numerator square root of 2 over denominator 2 end fraction

  3. square root of 2

  4. 2 square root of 2

  5. 4undefined

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

02

:

07

:

44

:

40

Klaim

Iklan

D. Kamilia

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

integral from 1 to 2 of 1 over straight x squared straight f open parentheses 1 plus 2 over straight x close parentheses dx  Substitusi space straight y equals 1 plus 2 over straight x space maka  straight y equals 1 plus 2 straight x to the power of negative 1 end exponent  dy equals negative 2 straight x to the power of negative 2 end exponent straight space dx  dy equals negative 2 over straight x squared dx  box enclose negative 1 half straight space dy equals 1 over straight x squared straight space dx end enclose  Untuk space straight x equals 1 comma space maka space straight y equals 1 plus 2 over 1 equals 1 plus 2 equals box enclose 3  Untuk space straight x equals 2 comma space maka space straight y equals 1 plus 2 over 2 equals 1 plus 1 equals box enclose 2  Sehingga  integral from 1 to 2 of 1 over straight x squared straight f open parentheses 1 plus 2 over straight x close parentheses dx equals integral from 1 to 2 of straight f open parentheses 1 plus 2 over straight x close parentheses.1 over straight x squared dx equals integral from 3 to 2 of straight f open parentheses straight y close parentheses open parentheses negative 1 half straight space dy close parentheses equals negative 1 half integral from 3 to 2 of straight f open parentheses straight y close parentheses dy  equals 1 half integral from 2 to 3 of straight f open parentheses straight y close parentheses dy equals 1 half integral from 2 to 3 of straight f open parentheses straight x close parentheses dx equals box enclose fraction numerator square root of 2 over denominator 2 end fraction end enclose

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

3

Rifdah Hansya Ropipah

Mudah dimengerti

Iklan

Pertanyaan serupa

Jika nilai ∫ 2 3 ​ f ( x ) d x = 12 , hasil dari ∫ 2 3 ​ f ( 5 − x ) d x adalah....

15

4.8

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