Pertanyaan

Hasil dari adalah ....

Hasil dari $begin mathsize 14px style integral open parentheses negative 19 over x cubed minus 5 x to the power of 5 square root of x minus fraction numerator 4 square root of x over denominator x to the power of 5 end fraction close parentheses blank d x end style$ adalah ....

$begin mathsize 14px style fraction numerator 19 over denominator 2 x squared end fraction plus 10 over 13 x to the power of 6 square root of x plus fraction numerator 8 over denominator 7 x cubed square root of x end fraction plus C end style$
$begin mathsize 14px style fraction numerator 19 over denominator 2 x squared end fraction minus 10 over 13 x to the power of 6 square root of x plus fraction numerator 8 over denominator 7 x cubed square root of x end fraction plus C end style$
$begin mathsize 14px style fraction numerator 19 over denominator 2 x squared end fraction minus 10 over 13 x to the power of 6 square root of x minus fraction numerator 8 over denominator 7 x cubed square root of x end fraction plus C end style$
$begin mathsize 14px style fraction numerator 57 over denominator 2 x squared end fraction minus 25 over 13 x to the power of 6 square root of x plus fraction numerator 8 over denominator 7 x cubed square root of x end fraction plus C end style$
$begin mathsize 14px style negative fraction numerator 57 over denominator 2 x squared end fraction plus 25 over 13 x to the power of 6 square root of x plus fraction numerator 8 over denominator 7 x cubed square root of x end fraction plus C end style$

R. RGFLSATU

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B.

Pembahasan

Perhatikan perhitungan berikut. Misalkan maka Jadi, jawaban yang tepat adalah B.

Perhatikan perhitungan berikut.

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell integral open parentheses negative 19 over x cubed minus 5 x to the power of 5 square root of x minus fraction numerator 4 square root of x over denominator x to the power of 5 end fraction close parentheses blank d x end cell equals cell integral negative 19 over x cubed blank d x minus integral 5 x to the power of 5 square root of x blank d x minus integral fraction numerator 4 square root of x over denominator x to the power of 5 end fraction blank d x end cell row blank equals cell integral negative 19 x to the power of negative 3 end exponent blank d x minus integral 5 x to the power of 11 over 2 end exponent blank d x minus integral 4 x to the power of negative 9 over 2 end exponent blank d x end cell row blank equals cell open parentheses fraction numerator negative 19 over denominator negative 3 plus 1 end fraction x to the power of negative 3 plus 1 end exponent plus C subscript 1 close parentheses minus open parentheses fraction numerator 5 over denominator 11 over 2 plus 1 end fraction x to the power of 11 over 2 plus 1 end exponent plus C subscript 2 close parentheses minus open parentheses fraction numerator 4 over denominator negative 9 over 2 plus 1 end fraction x to the power of negative 9 over 2 plus 1 end exponent plus C subscript 3 close parentheses end cell row blank equals cell fraction numerator negative 19 over denominator negative 2 end fraction x to the power of negative 2 end exponent plus C subscript 1 minus fraction numerator 5 over denominator 13 over 2 end fraction x to the power of 13 over 2 end exponent minus C subscript 2 minus fraction numerator 4 over denominator negative 7 over 2 end fraction x to the power of negative 7 over 2 end exponent minus C subscript 3 end cell row blank equals cell 19 over 2 times 1 over x squared plus C subscript 1 minus 5 times 2 over 13 x to the power of 13 over 2 end exponent minus C subscript 2 minus 4 times open parentheses negative 2 over 7 close parentheses times 1 over x to the power of 7 over 2 end exponent blank minus C subscript 3 end cell row blank equals cell fraction numerator 19 over denominator 2 x squared end fraction minus 10 over 13 x to the power of 6 plus 1 half end exponent plus fraction numerator 8 over denominator 7 x cubed square root of x end fraction plus C subscript 1 minus C subscript 2 minus C subscript 3 end cell row blank equals cell fraction numerator 19 over denominator 2 x squared end fraction minus 10 over 13 x to the power of 6 times x to the power of 1 half end exponent plus fraction numerator 8 over denominator 7 x cubed square root of x end fraction plus C subscript 1 minus C subscript 2 minus C subscript 3 end cell row blank equals cell fraction numerator 19 over denominator 2 x squared end fraction minus 10 over 13 x to the power of 6 square root of x plus fraction numerator 8 over denominator 7 x cubed square root of x end fraction plus C subscript 1 minus C subscript 2 minus C subscript 3 end cell end table end style$

Misalkan maka

$begin mathsize 14px style fraction numerator 19 over denominator 2 x squared end fraction minus 10 over 13 x to the power of 6 square root of x plus fraction numerator 8 over denominator 7 x cubed square root of x end fraction plus C subscript 1 minus C subscript 2 minus C subscript 3 equals fraction numerator 19 over denominator 2 x squared end fraction minus 10 over 13 x to the power of 6 square root of x plus fraction numerator 8 over denominator 7 x cubed square root of x end fraction plus C end style$

Jadi, jawaban yang tepat adalah B.