Mathematics - Area Under Curves Question with Solution | TestHub

MathematicsArea Under CurvesArea bounded by two curvesMedium2 minPYQ_2014

MathematicsMediumsingle choice

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

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Solution:

Given $\int_{1}^{b} f (x) dx = b^{2} + 1 - 2$ Differentiate with respect to $b$ $f (b) = \frac{b}{b ^{2} + 1} \Rightarrow f (x) = \frac{x}{x ^{2} + 1}$

Stream:BITSATSubject:MathematicsTopic:Area Under CurvesSubtopic:Area bounded by two curves

⏱ 2mℹ️ Source: PYQ_2014

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