# Calculus Early Transcendentals

Mathematics

## Quiz 6 :Techniques of Integration

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Use the Table of Integrals to evaluate the integral to three decimal places.
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A manufacturer of light bulbs wants to produce bulbs that last about hours but, of course, some bulbs burn out faster than others. Let be the fraction of the company's bulbs that burn out before t hours. lies between 0 and 1.Let . What is the value of ?
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A

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Determine whether the improper integral converges or diverges, and if it converges, find its value.
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A

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Find the integral.
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Evaluate the integral or show that it is divergent.
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Determine whether the improper integral converges or diverges, and if it converges, find its value.
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Let a and b be real numbers. What integral must appear in place of the question mark "?" to make the following statement true?
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Evaluate the integral.
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Find the integral.
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Use Simpson's Rule to approximate the integral with answers rounded to four decimal places.
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Use Simpson's Rule to approximate the integral with answers rounded to four decimal places.
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Use the Table of Integrals to evaluate the integral.
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Use the Midpoint Rule to approximate the given integral with the specified value of . (Round your answers to four decimal places.)
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Estimate the area of the shaded region by using the Trapezoidal Rule with . Round the answer to the nearest tenth.
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Write the form of the partial fraction decomposition of the rational expression. Do not find the numerical values of the constants.
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Use the Midpoint Rule to approximate the given integral with the specified value of . (Round your answers to four decimal places.)
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Determine whether the improper integral converges or diverges, and if it converges, find its value.
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Use a table of integrals to evaluate the integral.
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