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

Plotting the graph of the function y = 3 - x + 1 - x - 1 2 and x -axis, we get Now applying the formula of area of trapezium which is 1 2 × height × sum of parallel sides we get, Required area of Trap A B C D = 1 2 × 3 2 × 3 + 3 2 = 27 8

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Mathematics - Area Under Curves Question with Solution | TestHub

MathematicsArea Under CurvesArea of Curve along axisMedium2 minPYQ_2022

MathematicsMediumsingle choice

The area of the bounded region enclosed by the curve $y = 3 - |x - \frac{1}{2}| - |x + 1|$ and the $x$ -axis is

Question diagram: The area of the bounded region enclosed by the curve y = 3 -

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Answer:

Solution:

Plotting the graph of the function $y = 3 - |x + 1| - |x - \frac{1}{2}|$ and $x$ -axis, we get

Now applying the formula of area of trapezium which is $\frac{1}{2} \times height \times (sum of parallel sides)$ we get,

Required area of $Trap (A B C D) = \frac{1}{2} \times \frac{3}{2} \times (3 + \frac{3}{2}) = \frac{27}{8}$

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

⏱ 2mℹ️ Source: PYQ_2022

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