Exam 7: Techniques of Integration

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Select the correct Answer for each question. -Evaluate the integral. Select the correct Answer for each question. -Evaluate the integral.

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Use the Table of Integrals to evaluate the integral to three decimal places. Use the Table of Integrals to evaluate the integral to three decimal places.

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Select the correct Answer for each question. -Use long division to evaluate the integral. Select the correct Answer for each question. -Use long division to evaluate the integral.   The choices are rounded to 3 decimal places. The choices are rounded to 3 decimal places.

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Evaluate the integral. Evaluate the integral.

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Evaluate the integral.Select the correct Answer Evaluate the integral.Select the correct Answer

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A body moves along a coordinate line in such a way that its velocity at any time A body moves along a coordinate line in such a way that its velocity at any time   , where   is given by   Find its position function if it is initially located at the origin. , where A body moves along a coordinate line in such a way that its velocity at any time   , where   is given by   Find its position function if it is initially located at the origin. is given by A body moves along a coordinate line in such a way that its velocity at any time   , where   is given by   Find its position function if it is initially located at the origin. Find its position function if it is initially located at the origin.

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Find the integral. Find the integral.

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Evaluate the following integral. Evaluate the following integral.

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Select the correct Answer for each question. -Determine whether the improper integral converges or diverges, and if it converges, find its value. Select the correct Answer for each question. -Determine whether the improper integral converges or diverges, and if it converges, find its value.

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Find the integral using an appropriate trigonometric substitution. Find the integral using an appropriate trigonometric substitution.

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Evaluate the integral. Evaluate the integral.

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Use the Table of Integrals to evaluate the integral. Use the Table of Integrals to evaluate the integral.

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The region under the curve The region under the curve   is rotated about the x-axis.Find the volume of the resulting solid. is rotated about the x-axis.Find the volume of the resulting solid.

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Find the integral using an appropriate trigonometric substitution. Find the integral using an appropriate trigonometric substitution.

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Select the correct Answer for each question. -Evaluate the integral. Select the correct Answer for each question. -Evaluate the integral.

(Multiple Choice)
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Find the integral using an appropriate trigonometric substitution. Find the integral using an appropriate trigonometric substitution.

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The region under the curve The region under the curve   is rotated about the x-axis.Find the volume of the resulting solid.Select the correct Answer is rotated about the x-axis.Find the volume of the resulting solid.Select the correct Answer

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Find the volume of the resulting solid if the region under the curve Find the volume of the resulting solid if the region under the curve   from   to   is rotated about the x-axis.Round yourAnswer to four decimal places. from Find the volume of the resulting solid if the region under the curve   from   to   is rotated about the x-axis.Round yourAnswer to four decimal places. to Find the volume of the resulting solid if the region under the curve   from   to   is rotated about the x-axis.Round yourAnswer to four decimal places. is rotated about the x-axis.Round yourAnswer to four decimal places.

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Select the correct Answer for each question. -The region Select the correct Answer for each question. -The region   is represented below.Find the area of this region to two decimal places.  is represented below.Find the area of this region to two decimal places. Select the correct Answer for each question. -The region   is represented below.Find the area of this region to two decimal places.

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

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