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KVPY2016MathematicsArea Under Curves

The area of the region bounded by the curve y= |x³-4 x²+3 x | and the x -axis, 0 x 3 , is -

Options

  1. A37 6
  2. B9 4
  3. C37 12
  4. D0

Correct answer

C. 37 12

Step-by-step solution

A= ₀¹ f(x) d x- ₁³ f(x) d x= ₀¹ (x³-4 x²+3 x ) d x- ₁³ (x³-4 x²+3 x ) d x= 37 12

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