Questions from General Calculus


Q: Evaluate the integral. /

Evaluate the integral.

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Q: Use integration by parts to prove the reduction formula. /

Use integration by parts to prove the reduction formula.

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Q: Evaluate the integral. /

Evaluate the integral.

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Q: Evaluate the integral. /

Evaluate the integral.

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Q: Determine whether the series is convergent or divergent by expressing sn as

Determine whether the series is convergent or divergent by expressing sn as a telescoping sum. If it is convergent, find its sum.

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Q: Evaluate the integral. /

Evaluate the integral.

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Q: Find the length of the curve. /

Find the length of the curve.

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Q: Use series to approximate the definite integral to within the indicated accuracy

Use series to approximate the definite integral to within the indicated accuracy.

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Q: Determine whether the sequence converges or diverges. If it converges,

Determine whether the sequence converges or diverges. If it converges, find the limit.

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Q: Evaluate the integral. /

Evaluate the integral.

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