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Integration – Basic Concepts

question 1 of 1 Grade: Eleven - G11
question 1 of 1 Grade: Eleven - G11

Q: Integrate \(3x^{2} - 5x + \frac{9}{x^{3}}\) with respect to \(x\).

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dy/dx = 6x² - 18x + 12 = 6(x² - 3x + 2) = 6(x-1)(x-2)=0 → x=1, x=2. y(1)=2-9+12+8=13 → (1,13). y(2)=16-36+24+8=12 → (2,12).

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Did You Know?

dy/dx = 6x² - 18x + 12 = 6(x² - 3x + 2) = 6(x-1)(x-2)=0 → x=1, x=2. y(1)=2-9+12+8=13 → (1,13). y(2)=16-36+24+8=12 → (2,12).

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