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Mathematics - Area Under Curves Question with Solution | TestHub

MathematicsArea Under CurvesArea bounded by Miscellaneous CurvesMedium2 minPYQ_2018

MathematicsMediumsingle choice

The area of the region bounded by the curve $x =$ $2 y + 3$ and lines $y = 1$ and $y = - 1$ is

Options:

Answer:

Solution:

We have $x = 2 y + 3$ , a straight line
Required area $=$ Area of shaded region $= \int_{- 1}^{1} (2 y + 3) d y = [y^{2} + 3 y]_{- 1}^{1} = 6$ sq. units

Stream:VITEEESubject:MathematicsTopic:Area Under CurvesSubtopic:Area bounded by Miscellaneous Curves

⏱ 2mℹ️ Source: PYQ_2018

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