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Vector Algebra

Question
CBSEENMA12036084
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The area of the region enclosed by the curves y = x, x = e, y =1/x and the positive x-axis is

  • 1/2 square units

  • 1 square units

  • 3/2 square units

  • 5/2 square units

Solution

C.

3/2 square units

Required area = OAB + ACDB

1 half space straight x space 1 space straight x space 1 space plus space integral subscript 1 superscript straight e 1 over straight x space dx space equals space 1 half space plus space left parenthesis l n straight x right parenthesis subscript 1 superscript straight e space equals space 3 over 2 space square space unit

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