Tentukan integral 5x³+3x²+x-4 dx
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Jawaban:
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Penjelasan dengan langkah-langkah:
[tex]\sf\int(5 {x}^{3} + 3 {x}^{2} + x - 4)dx \\ [/tex]
[tex] \sf = \frac{5}{3 + 1} {x}^{3 +1 } + \frac{3}{2 + 1} {x}^{2 + 1} + \frac{1}{1 + 1} {x}^{1 + 1} - 4x + c[/tex]
[tex]\sf = \frac{5}{4} {x}^{4} + \frac{3}{3} {x}^{3} + \frac{1}{2} {x}^{2} - 4x + c[/tex]
[tex]\color{cyan}{\sf{ = \frac{5}{4}x ^{4} + {x}^{3} + \frac{1}{2} {x}^{2} - 4x + c }}[/tex]
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