Pertanyaan

Hasil dari ∫ 3 x 2 + 9 x − 1 2 x + 3 d x adalah ....

Hasil dari $\int \frac{2 x + 3}{3 x ^{2} + 9 x - 1} d x$ adalah ....

J. Joko

Master Teacher

Jawaban terverifikasi

Pembahasan

Jadi, jawaban yang tepat adalah C.

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell integral fraction numerator open parentheses 2 x plus 3 close parentheses over denominator square root of 3 x squared plus 9 x minus 1 end root end fraction d x end cell equals cell integral open parentheses 2 x plus 3 close parentheses open parentheses 3 x squared plus 9 x minus 1 close parentheses to the power of negative 1 half end exponent d x end cell row blank equals cell integral fraction numerator open parentheses 2 x plus 3 close parentheses open parentheses 3 x squared plus 9 x minus 1 close parentheses to the power of negative 1 half end exponent d open parentheses 3 x squared plus 9 x minus 1 close parentheses over denominator 3 open parentheses 2 x plus 3 close parentheses end fraction end cell row blank equals cell integral 1 third open parentheses 3 x squared plus 9 x minus 1 close parentheses to the power of negative 1 half end exponent d open parentheses 3 x squared plus 9 x minus 1 close parentheses end cell row blank equals cell 2 over 3 open parentheses 3 x squared plus 9 x minus 1 close parentheses to the power of 1 half end exponent plus C end cell row blank equals cell 2 over 3 square root of left parenthesis 3 x squared plus 9 x minus 1 right parenthesis end root plus C comma space text dengan end text space C text konstanta end text end cell end table end style$

Jadi, jawaban yang tepat adalah C.