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Manipal MET2012MathematicsArea Under Curves

The area of the region bounded by y=-1 , y=2, x=y^3 and x=0 is

Options

  1. A17 4 sq units
  2. B1 4 sq unit
  3. C4 sq units
  4. DNone of these

Correct answer

A. 17 4 sq units

Step-by-step solution

Required area = _ -1 ^2 |x₁ | d y aligned & = _ -1 ^0 (-x₁ ) d y+ ₀^2 x₁ d y & =- _ -1 ^0 y^3 d y+ ₀^2 y^3 d y aligned aligned & =- [ y^4 4 ]_ -1 ^0+ [ y^4 4 ]₀^2= 1 4 +4 & = 17 4 sq units. aligned

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