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MHT CET202016 Oct 2020Morning ShiftMathematicsArea Under CurvesActual

The area of the region bounded by the curve y=4 x³-6 x²+4 x+1 and the lines x=1, x=5 and x axis is

Options

  1. A428 sq. units
  2. B400 sq. units
  3. C334 sq. units
  4. D378 sq. units

Correct answer

A. 428 sq. units

Step-by-step solution

(C) Required area is shaded. array l ₁⁵ 4 x³-6 x²+4 x+1 d x = [ 4 x⁴ 4 - 6 x³ 3 + 4 x² 2 +x ]₁⁵ = [x⁴-2 x³+2 x²+x ]₁⁵ = [5⁴-2(5)³+2(5)²+5 ]- [1⁴-2(1)³+2(1)²+1 ] =[625-250+50+5]-[1-2+2+1] =430-2=428 sq. units array

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