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JEE Advanced Mathematics question

MathematicsArea Under CurveJEE Advanced

Let be a continuous function such that the area bounded by the curve , the -axis and the two ordinates and is . Then is

Answer: (A)

Solution

Treat the area as . Differentiating with respect to (Fundamental Theorem of Calculus, continuous):

f(a)=a+Missing argument for \frac\frac12( a+a a)-Missing argument for \frac\frac2 a.

Put $a=\

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Question ID VK-109591