Matematika

Pertanyaan

Tentukan luas daerah yang di batasi oleh kurva y=2x-1 dengan sumbu x dimana x = 1 dan x = 5

1 Jawaban

  • [tex] \int_{1}^{5}\left(2x-1\right)dx =\left.\left(\frac{2}{3}x^{3}-2x\right)\right|_{x=1}^{x=5} \\\int_{1}^{5}\left(2x-1\right)dx =\left(\frac{2}{3}\left(5\right)^{3}-2\left(5\right)\right)-\left(\frac{2}{3}-2\right) \\ \int_{1}^{5}\left(2x-1\right)dx =\left(\frac{2\times125}{3}-10\right)-\left(-\frac{4}{3}\right) \\ \int_{1}^{5}\left(2x-1\right)dx =20[/tex]

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