integral -2x pangkat -3 + 5x pangkat 3 - 5 dx
Matematika
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Pertanyaan
integral -2x pangkat -3 + 5x pangkat 3 - 5 dx
1 Jawaban
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1. Jawaban SadonoSukirno
(-2x^-3 + 5x³ - 5)dx
= (-2/(-3+1)x^(-3+1) + (5/(3+1))x^(3+1) - 5x + C
= (-2/-2)x^-2 + (5/4)x⁴ - 5x + C
= x^-2 + (5/4)x⁴ - 5x + C
= (1/x²) + (5/4)x⁴ - 5x + C