Exam 8: Section 4: Integration Techniques, Lhôpitals Rule, and Improper Integrals

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Find the indefinite integral by making the substitution Find the indefinite integral by making the substitution   .  . Find the indefinite integral by making the substitution   .

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D

Find the definite integral. Find the definite integral.

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D

Find the indefinite integral by making the substitution Find the indefinite integral by making the substitution   .  . Find the indefinite integral by making the substitution   .

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Correct Answer:
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A

Find the indefinite integral by making the substitution Find the indefinite integral by making the substitution   .  . Find the indefinite integral by making the substitution   .

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Find Find   . .

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Find the indefinite integral. Find the indefinite integral.

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Find Find   . .

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Find the indefinite integral by making the substitution Find the indefinite integral by making the substitution   .  . Find the indefinite integral by making the substitution   .

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Evaluate the integral Evaluate the integral   using the integration limits. Round your answer to three decimal places. using the integration limits. Round your answer to three decimal places.

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Find Find   . .

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Find the indefinite integral. Find the indefinite integral.

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Find the indefinite integral by making the substitution Find the indefinite integral by making the substitution   .  . Find the indefinite integral by making the substitution   .

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Find the indefinite integral by making the substitution Find the indefinite integral by making the substitution   .  . Find the indefinite integral by making the substitution   .

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Find the indefinite integral by making the substitution Find the indefinite integral by making the substitution   .  . Find the indefinite integral by making the substitution   .

(Multiple Choice)
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Find the indefinite integral by making the substitution Find the indefinite integral by making the substitution   .  . Find the indefinite integral by making the substitution   .

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Find the indefinite integral. Find the indefinite integral.

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Find the indefinite integral by making the substitution Find the indefinite integral by making the substitution   .  . Find the indefinite integral by making the substitution   .

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Find the indefinite integral. Find the indefinite integral.

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Complete the square and find Complete the square and find   . .

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