Roboguru

Hasil dari

Pertanyaan

Hasil dari integral square root of x d x equals...

Pembahasan Soal:

table attributes columnalign right center left columnspacing 0px end attributes row cell integral square root of x space d x end cell equals cell integral x to the power of 1 half end exponent space d x end cell row blank equals cell fraction numerator 1 over denominator begin display style 1 half end style plus 1 end fraction x to the power of 1 half plus 1 end exponent plus C end cell row blank equals cell fraction numerator 1 over denominator begin display style 3 over 2 end style end fraction x to the power of 3 over 2 end exponent plus C end cell row blank equals cell 2 over 3 x square root of x plus C end cell end table

Jadi, hasil integral tersebut adalah 2 over 3 x square root of x plus C.

Pembahasan terverifikasi oleh Roboguru

Dijawab oleh:

Y. Herlanda

Mahasiswa/Alumni STKIP PGRI Jombang

Terakhir diupdate 06 Juni 2021

Roboguru sudah bisa jawab 91.4% pertanyaan dengan benar

Tapi Roboguru masih mau belajar. Menurut kamu pembahasan kali ini sudah membantu, belum?

Membantu

Kurang Membantu

Apakah pembahasan ini membantu?

Belum menemukan yang kamu cari?

Post pertanyaanmu ke Tanya Jawab, yuk

Mau Bertanya

Pertanyaan yang serupa

Tentukan nilai integral dari

Pembahasan Soal:

Rumus integral,

integral a x to the power of n d x equals fraction numerator a over denominator n plus 1 end fraction x to the power of n plus 1 end exponent

Maka,

table attributes columnalign right center left columnspacing 0px end attributes row cell integral x – 1 half left parenthesis x cubed plus 3 right parenthesis space d x end cell equals cell integral x minus fraction numerator x cubed plus 3 over denominator 2 end fraction end cell row blank equals cell integral x minus x cubed over 2 plus 3 over 2 end cell row blank equals cell negative 1 half integral x cubed d x plus integral x d x minus 3 over 2 integral 1 d x end cell row blank blank blank row cell integral x cubed d x end cell equals cell fraction numerator x to the power of 3 plus 1 end exponent over denominator 3 plus 1 end fraction end cell row blank equals cell x to the power of 4 over 4 end cell row blank blank blank row cell integral x d x end cell equals cell fraction numerator x to the power of 1 plus 1 end exponent over denominator 1 plus 1 end fraction end cell row blank equals cell x squared over 2 end cell row blank blank blank row cell integral 1 d x end cell equals cell fraction numerator 1 x to the power of 0 plus 1 end exponent over denominator 0 plus 1 end fraction end cell row blank equals cell fraction numerator 1 x to the power of 1 over denominator 1 end fraction end cell row blank equals x row blank blank blank row cell negative 1 half integral x cubed d x plus integral x d x minus 3 over 2 integral 1 d x end cell equals cell negative 1 half open parentheses x to the power of 4 over 4 close parentheses plus x squared over 2 minus 3 over 2 open parentheses x close parentheses end cell row blank equals cell negative x to the power of 4 over 8 plus x squared over 2 minus fraction numerator 3 x over denominator 2 end fraction plus C end cell row blank equals cell fraction numerator negative x to the power of 4 plus 4 x squared minus 12 x over denominator 8 end fraction plus C end cell row blank equals cell negative fraction numerator x left parenthesis x cubed minus 4 x plus 12 right parenthesis over denominator 8 end fraction plus C end cell row blank blank blank end table

Jadi, nilai integral dari integral x – 1 half left parenthesis x cubed plus 3 right parenthesis space d x adalah negative fraction numerator x left parenthesis x cubed minus 4 x plus 12 right parenthesis over denominator 8 end fraction plus C,

 

0

Roboguru

Jika  dan  untuk  maka nilai  adalah ....

Pembahasan Soal:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f open parentheses x close parentheses end cell equals cell integral 3 x squared minus 2 x plus 1 space d x end cell row cell f open parentheses x close parentheses end cell equals cell x cubed minus x squared plus x plus C comma space text dengan end text space C text  konstanta end text end cell row blank blank blank row cell text Jika end text space f left parenthesis x right parenthesis end cell equals cell 10 space text untuk  end text x space equals 2 space text maka end text end cell row 10 equals cell 8 minus 4 plus 2 plus C end cell row C equals 4 row cell f open parentheses x close parentheses end cell equals cell x cubed minus x squared plus x plus 4 end cell row blank blank blank row cell text Jadi end text comma space f open parentheses 1 close parentheses minus f open parentheses negative 1 close parentheses end cell equals cell 5 plus 1 end cell row blank equals 6 end table end style

 

0

Roboguru

Tentukan formula dari .  a. Diberikan .

Pembahasan Soal:

0

Roboguru

Hitunglah integral dari !

Pembahasan Soal:

integral 4 x cubed minus 3 x squared plus 2 x minus 1 d x equals fraction numerator 4 over denominator 3 plus 1 end fraction x to the power of 3 plus 1 end exponent minus fraction numerator 3 over denominator 2 plus 1 end fraction x to the power of 2 plus 1 end exponent plus fraction numerator 2 over denominator 1 plus 1 end fraction x to the power of 1 plus 1 end exponent minus x plus c equals 4 over 4 x to the power of 4 minus 3 over 3 x cubed plus 2 over 2 x squared minus x plus c equals x to the power of 4 minus x cubed plus x squared minus x plus c  

Jadi,  integral dari 4 x cubed minus 3 x squared plus 2 x minus 1 adalah x to the power of 4 minus x cubed plus x squared minus x plus c.

0

Roboguru

Tentukan formula dari .  b.  Diketahui ,  saat , maka  dan saat  maka .

Pembahasan Soal:

0

Roboguru

Roboguru sudah bisa jawab 91.4% pertanyaan dengan benar

Tapi Roboguru masih mau belajar. Menurut kamu pembahasan kali ini sudah membantu, belum?

Membantu

Kurang Membantu

Apakah pembahasan ini membantu?

Belum menemukan yang kamu cari?

Post pertanyaanmu ke Tanya Jawab, yuk

Mau Bertanya

RUANGGURU HQ

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

Coba GRATIS Aplikasi Ruangguru

Produk Ruangguru

Produk Lainnya

Hubungi Kami

Ikuti Kami

©2021 Ruangguru. All Rights Reserved