Integral x² (x + 2)dx = ...

pake cara, pokoknya nanti hasilnya ini $sf frac{1}{4} x^4 + frac{2}{3} x^3 + c$

Integral x² (x + 2)dx = …

Integral x² (x + 2)dx =

I x² (x + 2) dx

= I ( x³ + 2x² ) dx

= ¼x⁴ + ⅔x³ + c

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integral x²(x + 2) dx

integral (x²+¹ + 2x²) dx

integral (x³ + 2x²) dx

= x³+¹ + 2x²+¹ + C

3+1 2+1

= x⁴ + 2x³ + C

4 3