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Which strips are considered for the area bounded by \[y=f(x)\], the \[x\]-axis, and the ordinates \[x=a\] and \[x=b\]?

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Question

Which strips are considered for the area bounded by \[y=f(x)\], the \[x\]-axis, and the ordinates \[x=a\] and \[x=b\]?

Options

  • Horizontal strips

  • Strips of length \[x\] and width \[dy\]

  • Strips bounded by the \[y\]-axis

  • Extremely thin vertical strips

MCQ
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Solution

The region between the ordinates \[x=a\] and \[x=b\] is divided into a very large number of extremely thin vertical strips. Each strip has width \[dx\] and height \[y=f(x)\].

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