Pertanyaan

Hasil dari ∫ x 2 − x + 3 12 x − 6 d x adalah ....

Hasil dari $\int \frac{12 x - 6}{x ^{2} - x + 3} d x$ adalah ....

J. Joko

Master Teacher

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell integral fraction numerator 12 x minus 6 over denominator square root of x squared minus x plus 3 end root end fraction d x end cell equals cell integral fraction numerator 6 open parentheses 2 x minus 1 close parentheses over denominator open parentheses 2 x minus 1 close parentheses square root of x squared minus x plus 3 end root end fraction d open parentheses x squared minus x plus 3 close parentheses end cell row blank equals cell integral 6 over blank d left parenthesis x squared minus x plus 3 right parenthesis end cell row blank equals cell integral 6 open parentheses x squared minus x plus 3 close parentheses to the power of negative 1 half end exponent d left parenthesis x squared minus x plus 3 right parenthesis end cell row blank equals cell 12 square root of x squared minus x plus 3 end root plus C end cell end table end style$