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Using \[F\] as an antiderivative, how is \[\int_{a}^{b}f(x)\,dx\] evaluated?

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Question

Using \[F\] as an antiderivative, how is \[\int_{a}^{b}f(x)\,dx\] evaluated?

Options

  • \[F(b)-F(a)\]

  • \[F(a)+F(b)\]

  • \[F(x)+C\]

  • \[F(a)-F(b)\]

MCQ
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Solution

A definite integral is evaluated using \[F(b)-F(a)\]. The value at the lower limit is subtracted from the value at the upper limit.

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