Pertanyaan

Hasil dari ∫ x 2 + 6 x + 5 ( x + 3 ) dx = ...

Hasil dari $\int \frac{( x + 3 )}{x ^{2} + 6 x + 5} dx = ...$

A. Acfreelance

Master Teacher

Mahasiswa/Alumni UIN Walisongo Semarang

Jawaban terverifikasi

Jawaban

hasil dari

hasil dari $table attributes columnalign right center left columnspacing 0px end attributes row cell integral fraction numerator open parentheses straight x plus 3 close parentheses over denominator square root of straight x squared plus 6 straight x plus 5 end root end fraction dx end cell equals cell square root of straight x squared plus 6 straight x plus 5 end root plus straight c end cell end table$

Pembahasan

Menyelesaikan pembagian integral diatas dengan mempermisalkan fungsi yang mempunya pangkat terbesar Setelah dimisalkan dapat dicari hasil dari operasional integral diatas Jadi hasil dari

Menyelesaikan pembagian integral diatas dengan mempermisalkan fungsi yang mempunya pangkat terbesar

Setelah dimisalkan dapat dicari hasil dari operasional integral diatas

$table attributes columnalign right center left columnspacing 0px end attributes row cell integral fraction numerator open parentheses straight x plus 3 close parentheses over denominator square root of straight x squared plus 6 straight x plus 5 end root end fraction dx end cell equals cell integral left parenthesis straight x plus 3 right parenthesis. left parenthesis straight x squared plus 6 straight x plus 5 right parenthesis to the power of negative 1 divided by 2 end exponent space dx end cell row blank equals cell integral open parentheses straight x plus 3 close parentheses. straight u to the power of negative 1 divided by 2 end exponent. fraction numerator 1 over denominator 2 straight x plus 6 end fraction du end cell row blank equals cell integral open parentheses straight x plus 3 close parentheses. straight u to the power of negative 1 divided by 2 end exponent. fraction numerator 1 over denominator 2 left parenthesis straight x plus 3 right parenthesis end fraction du end cell row blank equals cell integral 1 half. straight u to the power of negative 1 divided by 2 end exponent space du end cell row blank equals cell 1 half integral straight u to the power of negative 1 divided by 2 end exponent space du end cell row blank equals cell 1 half. fraction numerator 1 over denominator negative begin display style 1 half end style plus 1 end fraction straight u to the power of negative 1 divided by 2 plus 1 end exponent plus straight c end cell row blank equals cell 1 half. fraction numerator 1 over denominator begin display style 1 half end style end fraction straight u to the power of 1 divided by 2 end exponent plus straight c end cell row blank equals cell 1 half.2 straight u to the power of 1 divided by 2 end exponent plus straight c end cell row blank equals cell left parenthesis straight x squared plus 6 straight x plus 5 right parenthesis to the power of 1 divided by 2 end exponent plus straight c space end cell row blank equals cell square root of straight x squared plus 6 straight x plus 5 end root plus straight c end cell end table$

Jadi hasil dari $table attributes columnalign right center left columnspacing 0px end attributes row cell integral fraction numerator open parentheses straight x plus 3 close parentheses over denominator square root of straight x squared plus 6 straight x plus 5 end root end fraction dx end cell equals cell square root of straight x squared plus 6 straight x plus 5 end root plus straight c end cell end table$