Mathematics - Area Under Curves Question with Solution | TestHub

MathematicsArea Under CurvesArea of Curve along axisMedium2 minQB

MathematicsMediumsingle choice

The area under $y = 1 + x^{- 2}$ from $x = 1$ to $x = 2$ is bisected by $x = a$ . If $a = (3 + p) /8$ , find $p$ .

Answer:

Solution:

Equating the two areas gives $2 (a - 1/ a) = 3/2$ , so $4 a^{2} - 3 a - 4 = 0$ . The positive root is $(3 + 73) /8$ , hence $p = 73$ .

Stream:JEESubject:MathematicsTopic:Area Under CurvesSubtopic:Area of Curve along axis

⏱ 2mℹ️ Source: QB

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