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Hasil dari ∫ x 2 − 4 x + 18 2 x − 4 d x adalah...

Hasil dari $\int \frac{2 x - 4}{x ^{2} - 4 x + 18} d x$ adalah...

$fraction numerator 1 over denominator square root of x squared minus 4 x plus 18 end root end fraction plus C$
$fraction numerator 3 over denominator square root of x squared minus 4 x plus 18 end root end fraction plus C$

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Pembahasan

$Substitusikan space u equals x squared minus 4 x equals 18 rightwards arrow fraction numerator d u over denominator d x end fraction equals 2 x minus 4 rightwards arrow d x equals fraction numerator d u over denominator 2 x minus 4 end fraction integral fraction numerator 2 x minus 4 over denominator square root of u end fraction fraction numerator d u over denominator 2 x minus 4 end fraction equals integral u to the power of negative 1 half end exponent d u equals 2 u to the power of 1 half end exponent equals 2 square root of x squared minus 4 x plus 18 end root plus C$