Hasil dari f (3x²-2)(x+5)DX
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Penjelasan dengan langkah-langkah:
[tex] \int(3 {x}^{2} - 2)(x + 5) \: dx \\ [/tex]
[tex] = \int3 {x}^{3} + 15 {x}^{2} - 2x - 10 \: dx \\ [/tex]
[tex] = \frac{3}{3 + 1} {x}^{3 + 1} + \frac{15}{2 + 1} {x}^{2 + 1} - \frac{2}{1 + 1} {x}^{1 + 1} - 10x[/tex]
[tex] = \frac{3}{4} {x}^{4} + \frac{15}{3} {x}^{3} - \frac{2}{2} {x}^{2} - 10x[/tex]
[tex] = \frac{3}{4} {x}^{4} + 5 {x}^{3} - {x}^{2} - 10x+C[/tex]
[answer.2.content]
