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MHT CET202012 Oct 2020Evening ShiftMathematicsArea Under CurvesActual

The area bounded by the curve y=x³ , the X -axis and the lines x=1 and x=4 is

Options

  1. A127 4 sq. units
  2. B64 sq. units
  3. C27 sq. units
  4. D255 4 sq. units

Correct answer

D. 255 4 sq. units

Step-by-step solution

Required area is shaded. aligned Area &= ₁⁴ x³ d x= [ x⁴ 4 ]₁⁴ &= 1 4 [4⁴-1 ]= 1 4 (256-1)= 255 4 sq. unit aligned

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