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What does the first fundamental theorem of calculus state?
What does the first fundamental theorem of calculus state?
- An antiderivative or indefinite integral F may be obtained as the integral of f over an interval with a variable upper bound. (correct)
- The integral of a function f over a fixed interval is equal to the change of any antiderivative F between the ends of the interval.
- The integral of a function f over a fixed interval is always zero.
- Continuous functions do not have antiderivatives.
What does the second fundamental theorem of calculus state?
What does the second fundamental theorem of calculus state?
- The integral of a function f over a fixed interval is equal to the change of any antiderivative F between the ends of the interval. (correct)
- An antiderivative or indefinite integral F may be obtained as the integral of f over an interval with a variable upper bound.
- The integral of a function f over a fixed interval is always zero.
- Continuous functions do not have antiderivatives.
What do the first and second fundamental theorems of calculus relate?
What do the first and second fundamental theorems of calculus relate?
- Differentiation and integration (correct)
- Exponents and logarithms
- Multiplication and division
- Addition and subtraction
What does the fundamental theorem of calculus imply about the existence of antiderivatives for continuous functions?
What does the fundamental theorem of calculus imply about the existence of antiderivatives for continuous functions?
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How does the second fundamental theorem of calculus simplify the calculation of a definite integral?
How does the second fundamental theorem of calculus simplify the calculation of a definite integral?
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When was Hamlet written?
When was Hamlet written?
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Where is the setting of the play Hamlet?
Where is the setting of the play Hamlet?
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Who does Prince Hamlet seek to exact revenge against?
Who does Prince Hamlet seek to exact revenge against?
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What is the word count of Shakespeare's play Hamlet?
What is the word count of Shakespeare's play Hamlet?
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What does the Arden Shakespeare editors question regarding source hunting?
What does the Arden Shakespeare editors question regarding source hunting?
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