Pertanyaan

Selesaikanlah integral ∫ x 2 x 2 − 3 d x

Selesaikanlah integral $\int \frac{x ^{2} - 3}{x ^{2}} d x$

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Klaim

F. Ayudhita

Master Teacher

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style integral fraction numerator x squared minus 3 over denominator x squared end fraction text d end text x end style$

$begin mathsize 14px style equals integral x squared over x squared d x minus integral 3 over x squared d x equals integral d x minus integral 3 x to the power of negative 2 end exponent space d x equals x minus fraction numerator 3 over denominator negative 2 plus 1 end fraction x to the power of negative 2 plus 1 end exponent plus C equals x minus fraction numerator 3 over denominator negative 1 end fraction x to the power of negative 1 end exponent plus C equals x plus 3 over x plus C end style$