Pertanyaan

Hasil dari ∫ ( 0 , 99 x − 100 + 2 3 x ) d x adalah ....

Hasil dari $\int (0, 99 x^{- 100} + \frac{3}{2} x) d x$ adalah ....

$begin mathsize 14px style negative fraction numerator 0 , 001 over denominator x to the power of 99 end fraction plus x square root of x plus C end style$
$begin mathsize 14px style negative fraction numerator 0 , 01 over denominator x to the power of 99 end fraction plus x square root of x plus C end style$
$begin mathsize 14px style negative fraction numerator 0 , 1 over denominator x to the power of 99 end fraction plus x square root of x plus C end style$
$begin mathsize 14px style fraction numerator 0 , 01 over denominator x to the power of 99 end fraction plus x square root of x plus C end style$

N. Putri

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B.

Pembahasan

Perhatikan perhitungan berikut! Jika maka didapat hasil sebagai berikut. Jadi, jawaban yang tepat adalah B.

Perhatikan perhitungan berikut!

$table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell integral open parentheses 0 comma 99 x to the power of negative 100 end exponent plus 3 over 2 square root of x close parentheses space d x end cell row blank equals cell integral 0 comma 99 x to the power of negative 100 end exponent space d x plus integral 3 over 2 square root of x space d x end cell row blank equals cell 0 comma 99 integral x to the power of negative 100 end exponent space d x plus 3 over 2 integral square root of x space d x end cell row blank equals cell 0 comma 99 open parentheses fraction numerator 1 over denominator negative 100 plus 1 end fraction x to the power of negative 100 plus 1 end exponent plus C subscript 1 close parentheses plus 3 over 2 open parentheses 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 subscript 2 close parentheses end cell row blank equals cell 0 comma 99 open parentheses fraction numerator 1 over denominator negative 99 end fraction x to the power of negative 99 end exponent plus C subscript 1 close parentheses plus 3 over 2 open parentheses 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 subscript 2 close parentheses end cell row blank equals cell fraction numerator 0 comma 99 over denominator negative 99 x to the power of 99 end fraction plus 0 comma 99 C subscript 1 plus 3 over 2 times 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 3 over 2 C subscript 2 end cell row blank equals cell negative fraction numerator 1 over denominator 100 x to the power of 99 end fraction plus x to the power of 3 over 2 end exponent plus 0 comma 99 C subscript 1 plus 3 over 2 C subscript 2 end cell row blank equals cell negative fraction numerator 0 comma 01 over denominator x to the power of 99 end fraction plus x square root of x plus 0 comma 99 C subscript 1 plus 3 over 2 C subscript 2 end cell row blank blank blank end table$

Jika maka didapat hasil sebagai berikut.

$begin mathsize 14px style negative fraction numerator 0 , 01 over denominator x to the power of 99 end fraction plus x square root of x plus 0 , 99 C subscript 1 plus 3 over 2 C subscript 2 equals negative fraction numerator 0 , 01 over denominator x to the power of 99 end fraction plus x square root of x plus C end style$

Jadi, jawaban yang tepat adalah B.