Roboguru
SD

Nilai ∫x​(23​3x​+3) dx= …

Pertanyaan

Nilai integral square root of x open parentheses 3 over 2 cube root of x plus 3 close parentheses space text dx= … end text  

H. Eka

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

nilai integral square root of x open parentheses 3 over 2 cube root of x plus 3 close parentheses space d x equals 9 over 11 x root index 6 of x to the power of 5 end root plus 2 x square root of x plus c 

Pembahasan

Nilai integral tersebut adalah sebagai berikut.

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell integral square root of x open parentheses 3 over 2 cube root of x plus 3 close parentheses space d x end cell row blank equals cell integral x to the power of 1 half end exponent open parentheses 3 over 2 x to the power of 1 third end exponent plus 3 close parentheses d x end cell row blank equals cell integral open parentheses 3 over 2 x to the power of 1 half plus 1 third end exponent plus 3 x to the power of 1 half end exponent close parentheses d x end cell row blank equals cell integral open parentheses 3 over 2 x to the power of 5 over 6 end exponent plus 3 x to the power of 1 half end exponent close parentheses d x end cell row blank equals cell 3 over 2 times 6 over 11 x to the power of 11 over 6 end exponent plus 3 times 2 over 3 x to the power of 3 over 2 end exponent plus c end cell row blank equals cell 9 over 11 x root index 6 of x to the power of 5 end root plus 2 x square root of x plus c end cell end table

Dengan demikian, nilai integral square root of x open parentheses 3 over 2 cube root of x plus 3 close parentheses space d x equals 9 over 11 x root index 6 of x to the power of 5 end root plus 2 x square root of x plus c 

32

0.0 (0 rating)

Pertanyaan serupa

Hitunglah hasil dari ∫(2x−2)(3−2x)3 dx!

53

0.0

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

Produk Lainnya

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