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Mathematics - Area Under Curves Question with Solution | TestHub

MathematicsArea Under CurvesArea of Curve along axisEasy2 minPYQ_2020

MathematicsEasysingle choice

The area bounded by the curve $y = x^{3}$ , the $X$ -axis and the lines $x = 1$ and $x = 4$ is

Options:

Answer:

Solution:

Required area is shaded. $Area = \int_{1}^{4} x^{3} d x = [\frac{x ^{4}}{4}]_{1}^{4} = \frac{1}{4} [4^{4} - 1] = \frac{1}{4} (256 - 1) = \frac{255}{4} sq. unit$

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

⏱ 2mℹ️ Source: PYQ_2020

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