AP®MathsCollege BoardCalculus ABExam QuestionsUnit 6: Integration & Accumulation of ChangeMethods of Integration

Methods of Integration (College Board AP® Calculus AB)

Exam Questions

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Methods of Integration

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Methods of Integration

1
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Find the value of integral subscript 0 superscript 4 x square root of 16 minus x squared end root space d x.

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2
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Solve the indefinite integral integral open parentheses 2 x squared minus 5 close parentheses open parentheses 2 x cubed minus 15 x plus 3 close parentheses to the power of 5 space d x.

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3
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Show that integral subscript 1 superscript square root of 3 end superscript fraction numerator 1 over denominator open parentheses 1 plus x squared close parentheses arctan x end fraction space d x equals ln open parentheses a over b close parentheses, where a and b are integers to be found.

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4
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Solve the indefinite integral integral fraction numerator x cubed minus 3 x squared minus 11 x plus 25 over denominator x minus 4 end fraction space d x.

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5
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Solve the indefinite integral integral fraction numerator 12 over denominator square root of 12 minus 4 x minus x squared end root end fraction space d x.

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