intergalx(x²-3x+4)dx
Matematika
hhh83
Pertanyaan
intergalx(x²-3x+4)dx
2 Jawaban
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1. Jawaban ainhasan
=integral x pangkat 3dx - 3x pangkat 2dx + 4dx
=1/4x pangkat 4 - 3/3x pangkat 3 + 4x + c
=1/4x^4 - x^3 + 4x + c -
2. Jawaban Yulii24
integral parsial:
turunan: x => 1 => 0
integral: x²-3x+4 => (1/3)x³-(3/2)x²+4x => (1/12)x⁴-(1/2)x³+2x²
= x((1/3)x³-(3/2)x²+4x)-((1/12)x⁴-(1/2)x³+2x²)+C
=(1/3)x⁴-(3/2)x³+4x²-(1/2)x⁴+(1/2)x³-2x²+C
=-(1/6)x⁴-x³+2x²+C