Mathematics - Area Under Curves Question with Solution | TestHub

MathematicsArea Under CurvesArea bounded by two curvesEasy2 minPYQ_2024

MathematicsEasysingle choice

The area enclosed by the curves $y = x^{3}$ and $y = x$ is

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Answer:

Solution:

Given curves are $y = x^{3}$ and $y = x$ Both curves intersects at $x = 0$ and $x = 1$ Shaded region is required area $A = \int_{0}^{1} (x^{3} - x) d x = [\frac{x ^{4}}{4} - \frac{2 x ^{3/2}}{3}]_{0}^{1} = [\frac{1}{4} - \frac{2}{3}] = \frac{5}{12} sq. unit$

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

⏱ 2mℹ️ Source: PYQ_2024

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