Pertanyaan

Hasil dari − 1 ∫ 4 2 x + 2 d x adalah...

Hasil dari $- 1 \int 4 2 x + 2 d x$ adalah...

2
$fraction numerator 5 square root of 5 over denominator 3 end fraction$
$fraction numerator 10 square root of 10 over denominator 3 end fraction$

H. Eka

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Pembahasan

$table attributes columnalign right center left columnspacing 0px end attributes row cell integral from negative 1 to 4 of square root of 2 x plus 2 end root space d x end cell equals cell integral from negative 1 to 4 of open parentheses 2 x plus 2 close parentheses to the power of 1 half end exponent space d x end cell row blank equals cell open square brackets 1 half times fraction numerator 1 over denominator begin display style 1 half plus 1 end style end fraction open parentheses 2 x plus 2 close parentheses to the power of 1 half plus 1 end exponent close square brackets subscript negative 1 end subscript superscript 4 end cell row blank equals cell open square brackets 1 half times fraction numerator 1 over denominator begin display style 3 over 2 end style end fraction open parentheses 2 x plus 2 close parentheses to the power of 3 over 2 end exponent close square brackets subscript negative 1 end subscript superscript 4 end cell row blank equals cell open square brackets fraction numerator 1 over denominator begin display style 3 end style end fraction open parentheses 2 x plus 2 close parentheses to the power of 3 over 2 end exponent close square brackets subscript negative 1 end subscript superscript 4 end cell row blank equals cell fraction numerator 1 over denominator begin display style 3 end style end fraction open square brackets open parentheses 2 left parenthesis 4 right parenthesis plus 2 close parentheses to the power of 3 over 2 end exponent minus open parentheses 2 left parenthesis negative 1 right parenthesis plus 2 close parentheses to the power of 3 over 2 end exponent close square brackets end cell row blank equals cell fraction numerator 1 over denominator begin display style 3 end style end fraction open square brackets open parentheses 10 close parentheses to the power of 3 over 2 end exponent minus open parentheses 0 close parentheses to the power of 3 over 2 end exponent close square brackets end cell row blank equals cell fraction numerator open parentheses 10 close parentheses to the power of 3 over 2 end exponent over denominator begin display style 3 end style end fraction end cell row blank equals cell fraction numerator 10 square root of 10 over denominator 3 end fraction end cell end table$