JEE Main2005MathematicsArea Under CurvesActual
Let f(x) be a non-negative continuous function such that the area bounded by the curve y=f(x), x -axis and the ordinates x= 4 and x= > 4 is ( + 4 + 2 ) . Then f ( 2 ) is
Options
- A( 4 + 2 -1 )
- B( 4 - 2 +1 )
- C(1- 4 - 2 )
- D(1- 4 + 2 )
Correct answer
D. (1- 4 + 2 )
Step-by-step solution
Given that _ / 4 ^ f(x) d x= + 4 +2 Differentiating w. r. t ( )= + - 4 + 2 f ( 2 )= (1- 4 ) 2 + 2 =1- 2 + 2 .