Integral x pangkat 2 ln (x pangkat 2) dx adalah? Mohon bantuannya
Matematika
Fenticha98
Pertanyaan
Integral x pangkat 2 ln (x pangkat 2) dx adalah? Mohon bantuannya
2 Jawaban
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1. Jawaban noelbaru
integral x^2 dx
= x^3 / 3 + C
kalau ada yg ga paham tanya ya dek :) -
2. Jawaban arsetpopeye
Integral (x^2 ln (x^2)) dx
= Integral (ln (x^2) . x^2) dx
= Integral U dV
U = ln (x^2)
dU = 1/(x^2) . 2x dx => dU = 2/x dx
dV = x^2 dx
V = 1/3 x^3
= Integral U dV
= U . V - integral V dU
= ln (x^2) . 1/3 x^3 - integral (1/3 x^3 . 2/x) dx
= 1/3 x^3 ln (x^2) - integral (2/3 x^2) dx
= 1/3 x^3 In (x^2) - 2/9 x^3 + C
= 1/3 x^3 [ln (x^2) - 2/3] + C