RoboguruRoboguru
SD

Tentukan integral berikut ini : 7. ∫(5−x+x2−x3+x4) dx

Pertanyaan

Tentukan integral berikut ini :

7. begin mathsize 14px style integral open parentheses 5 minus x plus x squared minus x cubed plus x to the power of 4 close parentheses space d x end style 

R. Nurhayati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

Jawaban terverifikasi

Pembahasan

Perhatikan penyelesaian integral berikut!

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell integral left parenthesis 5 minus x plus x squared minus x cubed plus x to the power of 4 right parenthesis space d x end cell row blank equals cell integral 5 space d x minus integral x space d x plus integral x squared space d x minus integral x cubed space d x plus integral x to the power of 4 space d x end cell row blank equals cell 5 x minus fraction numerator 1 over denominator 1 plus 1 end fraction x to the power of 1 plus 1 end exponent plus fraction numerator 1 over denominator 2 plus 1 end fraction x to the power of 2 plus 1 end exponent minus fraction numerator 1 over denominator 3 plus 1 end fraction x to the power of 3 plus 1 end exponent plus fraction numerator 1 over denominator 4 plus 1 end fraction x to the power of 4 plus 1 end exponent plus C end cell row blank equals cell 5 x minus 1 half x squared plus 1 third x cubed minus 1 fourth x to the power of 4 plus 1 fifth x to the power of 5 plus C end cell end table end style 

Jadi, kita peroleh nilai dari integral tersebut adalah sebagai berikut.

 Error converting from MathML to accessible text. 

73

5.0 (1 rating)

Pertanyaan serupa

Jika f(x)=∫(x2+2x−1) dx dan f(1)=0, maka rumus fungsi f(x) adalah ....

543

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

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