Matematika Quiz[tex]\displaystyle \sf \int \limits_{1}^{-2} 2x^3 + 3x^2 \, dx[/tex][tex] \\ [/tex]→ Pake cara​

katelinmarquardtulv – June 09, 2023

Quiz

[tex]\displaystyle \sf \int \limits_{1}^{-2} 2x^3 + 3x^2 \, dx[/tex]
[tex] \\ [/tex]
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Penjelasan dengan langkah-langkah:

Integral

[tex]\sf \int \limits_{1}^{-2} 2x^3 + 3x^2 \, dx[/tex]

[tex]= \sf \int \limits_{-2}^1 - 2x^3 - 3x^2 \, dx[/tex]

[tex]= \sf \int - 2x^3 - 3x^2 \, dx[/tex]

[tex]= \sf - \int 2x^3 \, dx - \int 3x^2 \, dx[/tex]

[tex]= \sf - \dfrac{x^4}{2} - x^3[/tex]

[tex]= \sf \left. \left( - \dfrac{x^4}{2} - x^3 \right) \middle|_{-2}^1 \right.[/tex]

[tex]= \sf - \dfrac{1^4}{2} - 1^3 - \left(- \dfrac{(-2)^4}{2} - (- 2)^3 \right)[/tex]

[tex]= \sf - \dfrac{3}{2}[/tex]

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