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BITSAT2014MathematicsArea Under CurvesActual

The area bounded by the x -axis, the curve y=f(x) and the lines x =1, x = b , is equal to b ²+1 - 2 for all b>1, then f(x) is

Options

  1. Ax-1
  2. Bx+1
  3. Cx²+1
  4. Dx 1+x²

Correct answer

D. x 1+x²

Step-by-step solution

Given ₁^ b f ( x ) dx = b ²+1 - 2 Differentiate with respect to b f(b)= b b²+1 f(x)= x x²+1

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