Matematika

Pertanyaan

hitunglah volume benda putar pada kurva y = x^2, x = 0, x = 4 menggelilingi sumbu x

1 Jawaban

  • [tex]\int_{0}{4}{\pi y^{2}} \,dx=\int_{0}{4}{\pi(x^{2})^{2}} \,dx[/tex]
    [tex]=\int_{0}{4}{\pi x^{4}} \,dx[/tex]
    [tex]=\pi\frac{1}{5}x^{5} |^{4}_{0}[/tex]
    [tex]=\pi\frac{1}{5}4^{5}-\pi\frac{1}{5}0^{5}[/tex]
    [tex]=\frac{1024\pi}{5}[/tex]

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