Pertanyaan

Selesaikanlah integral ∫ x ( x − 1 ) d x

Selesaikanlah integral $\int x (x - 1) d x$

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Klaim

F. Ayudhita

Master Teacher

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style equals integral x to the power of 3 over 2 end exponent d x minus fraction numerator 1 over denominator 1 plus 1 end fraction x to the power of 1 plus 1 end exponent plus C equals fraction numerator 1 over denominator begin display style 3 over 2 end style plus 1 end fraction x to the power of 3 over 2 plus 1 end exponent minus 1 half x squared plus C equals fraction numerator 1 over denominator begin display style 5 over 2 end style end fraction x to the power of 5 over 2 end exponent minus 1 half x squared plus C equals 2 over 5 x to the power of 5 over 2 end exponent minus 1 half x squared plus C end style$