Integral - (x+2) pangkat 2 dx
Matematika
Fatimamekrenhoran
Pertanyaan
Integral - (x+2) pangkat 2 dx
1 Jawaban
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1. Jawaban Anonyme
•
Int -(x + 2)^2 dx
= -Int (x² + 4x + 4) dx
= -((1/3)x³ + 2x² + 4x) + C
= -(1/3)x³ - 2x² - 4x + C
•
Int 4/(x ³√x²) dx
= 4Int (x^(-5/3)) dx
= (4/(-2/3))x^(-2/3) + C
= -6/(³√x²) + C
•
Int 2x(x + 1)(x - 1)/x^3 dx
= 2Int (x² - 1)x² dx
= 2Int (1 - x^-2) dx
= 2(x + x^-1) + C
= 2x + (2/x) + C