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NEST2024MathematicsDefinite Integration

Let f: R R be a continuous function. For 0 t , let R_t be the region bounded by the curve y=f(x) , the line x=0 , the line y=0 and the line x=t . Suppose the area of R_t is t^2 2 (1- t) for 0 t . Then

Options

  1. Af ( 2 )= 4 (1+ 4 )
  2. Bf ( 2 )= 2 (1+ 4 )
  3. Cf ( 2 )= (1+ 8 )
  4. Df ( 2 )= 4 2 (1- 8 )

Correct answer

B. f ( 2 )= 2 (1+ 4 )

Step-by-step solution

No solution available.

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