Matematika Sekolah Menengah Atas yg pinter integral silahkeun di jwb : [tex]\sf \begin{gathered} \int 6x + 4x⁴ \: \: dx \\ \end{gathered}[/tex]​

jordywestulv – June 05, 2023

yg pinter integral silahkeun di jwb :

[tex]\sf \begin{gathered} \int 6x + 4x⁴ \: \: dx \\ \end{gathered}[/tex]
​

`Integral tak tentu

[tex]» \: \rm{ \int (6x + {4x}^{4} ) \: dx }\\ [/tex]

[tex]» \: \rm{ \frac{6}{1 \: + \: 1} {x}^{1 \: + \: 1} + \frac{4}{4 \: + \: 1} {x}^{4 \: + \: 1} + c }[/tex]

[tex]» \: \rm{ \frac{6}{2} {x}^{2} + \frac{4}{5} {x}^{5} + c }[/tex]

[tex]» \: \rm{ \frac{\cancel{6}}{\cancel{2}} {x}^{2} + \frac{4}{5} {x}^{5} + c }[/tex]

[tex]» \: \rm{ 3 {x}^{2} + \frac{4}{5} {x}^{5} + c }[/tex]

Penjelasan dengan langkah-langkah:

[tex]\int 6x + 4x⁴ \: \: dx \\ [/tex]

[tex] = \frac{6}{1 + 1} {x}^{1 + 1} + \frac{4}{4 + 1} {x}^{4 + 1} + c[/tex]

[tex] = \frac{6}{2} {x}^{2} + \frac{4}{5} {x}^{5} + c[/tex]

[tex] = (6 \div 2) {x}^{2} + \frac{4}{5} {x}^{5} + c[/tex]

[tex] \bf = {3x}^{2} + { \frac{4}{5} x}^{5} + c[/tex]

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