Exam 7: Techniques of Integration

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Evaluate the integral. Evaluate the integral.

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Select the correct Answer for each question. -Find the area bounded by the curves Select the correct Answer for each question. -Find the area bounded by the curves   and   between   and  and Select the correct Answer for each question. -Find the area bounded by the curves   and   between   and  between Select the correct Answer for each question. -Find the area bounded by the curves   and   between   and  and Select the correct Answer for each question. -Find the area bounded by the curves   and   between   and

(Multiple Choice)
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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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Find the integral. Find the integral.

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Evaluate the integral using integration by parts with the indicated choices of u and dv. Evaluate the integral using integration by parts with the indicated choices of u and dv.

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Evaluate the integral. Evaluate the integral.

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Evaluate the indefinite integral. Evaluate the indefinite integral.

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Evaluate the integral. Evaluate the integral.

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Evaluate the integral. Evaluate the integral.

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Find the area bounded by the curves Find the area bounded by the curves   and   between   and  and Find the area bounded by the curves   and   between   and  between Find the area bounded by the curves   and   between   and  and Find the area bounded by the curves   and   between   and

(Essay)
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Find the integral.Select the correct Answer Find the integral.Select the correct Answer

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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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Find the integral.Select the correct Answer Find the integral.Select the correct Answer

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Evaluate the integral. Evaluate the integral.

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Find the integral. Find the integral.

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

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Evaluate the integral. Evaluate the integral.

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Find the integral. Find the integral.

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Find the average value of the function Find the average value of the function   in the interval    in the interval Find the average value of the function   in the interval    Find the average value of the function   in the interval

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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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