Questions from General Calculus


Q: Evaluate the integral. f x2 – x + 6/

Evaluate the integral. f x2 – x + 6/x3 + 3x, dx

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Q: Use the given graph of f (x) = √x

Use the given graph of f (x) = √x to find a number δ such that if

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Q: Suppose an ellipse has foci (±c, 0) and the

Suppose an ellipse has foci (±c, 0) and the sum of the distances from any point P (x, y) on the ellipse to the foci is 2a. Show that the coordinates of P satisfy Equation 1.

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Q: Evaluate the integral. f 10/ (x – 1

Evaluate the integral. f 10/ (x – 1) (x2 + 9), dx

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Q: Evaluate the integral. f x2 – 2x – 1/

Evaluate the integral. f x2 – 2x – 1/ (x – 1)2 (x2 + 1), dx

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Q: Evaluate the integral. f x3 + x2 + 2x +

Evaluate the integral. f x3 + x2 + 2x + 1/ (x2 + 1) (x2 + 2), dx

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Q: Evaluate the integral. f x2 + x + 1/

Evaluate the integral. f x2 + x + 1/ (x2 + 1)2, dx

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Q: Evaluate the integral. f x + 4/x2 +

Evaluate the integral. f x + 4/x2 + 2x + 5, dx

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Q: Evaluate the integral. f10 x/x2 + 4x +

Evaluate the integral. f10 x/x2 + 4x + 13, dx

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Q: Evaluate the integral. f 1/x3 – 1,

Evaluate the integral. f 1/x3 – 1, dx

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