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KCET2023MathematicsArea Under Curves

The area of the region bounded by the line y=x+1 and the lines x=3 and x=5 is

Options

  1. A7 2 sq units
  2. B11 2 sq units
  3. C7 sq units
  4. D10 sq units

Correct answer

D. 10 sq units

Step-by-step solution

Required area, A= ₃^5(x+1) d x aligned & = [ x^2 2 +x ]₃^5= [ 25 2 +5- 9 2 -3 ] & = [ 25+10-9-6 2 ]= 20 2 & =10 sq units aligned

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