Questions from General Calculus


Q: Evaluate the integral. f2√30 x3/√16 –

Evaluate the integral. f2√30 x3/√16 – x2, dx

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Q: Suppose that 0 < c < π/2. For what

Suppose that 0 < c < π/2. For what value of is the area of the region enclosed by the curves y = cos x, y = cos (x – c), and x = 0 equal to the area of the region enclosed by the curves y = cos (x – c...

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Q: Evaluate the integral. f dx/x2√4 –

Evaluate the integral. f dx/x2√4 – x2

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Q: Archimedes’ Principle states that the buoyant force on an object partially or

Archimedes’ Principle states that the buoyant force on an object partially or fully submerged in a fluid is equal to the weight of the fluid that the object displaces. Thus, for an o...

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Q: Evaluate the integral. fx3/√x2 + 1, dx

Evaluate the integral. fx3/√x2 + 1, dx

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Q: Write out the form of the partial fraction expansion of the function

Write out the form of the partial fraction expansion of the function. Do not determine the numerical values of the coefficients.

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Q: Evaluate the integral. fπ/20 cos5x dx

Evaluate the integral. fπ/20 cos5x dx

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Q: Write out the form of the partial fraction expansion of the function

Write out the form of the partial fraction expansion of the function. Do not determine the numerical values of the coefficients.

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Q: Evaluate the integral. f 5x + 1/ (2x

Evaluate the integral. f 5x + 1/ (2x + 1) (x – 1), dx

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

Evaluate the integral. f10 x – 4/ x2 – 5x + 6, dx

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