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Mathematics - Area Under Curves Question with Solution | TestHub

MathematicsArea Under CurvesArea bounded by two curvesMedium2 minQB

MathematicsMediummultiple choice

Let $f (x) = 2 - ∣ x - 1∣, g (x) = (x - 1)^{2}$ , then -

Options:(select one or more)

Answer:

B, C

Solution:

Area bounded by $f$ & g

$S = 2 \int_{0}^{1} [(x + 1) - (x - 1)^{2}] d x = 2 [\frac{3 x ^{2}}{2} - \frac{x ^{3}}{3}]_{0}^{1} = \frac{7}{3} .$ Area bounded by $f (x), g (x)$ and x -axis $= 4 - \frac{7}{3} = \frac{5}{3}$

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

⏱ 2mℹ️ Source: QB

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