Start Free Mock LoginAlready registered? Login here

Mathematics - Area Under Curves Question with Solution | TestHub

MathematicsArea Under CurvesArea of Curve along axisMedium2 minPYQ_2023

MathematicsMediumsingle choice

The area bounded by the curve $y = ∣ x - 2∣, x = 1$ , $x = 3$ and $X$ -axis is

Options:

Answer:

Solution:

$Required area = \int_{1}^{3} ∣ x - 2∣ d x = \int_{1}^{2} (2 - x) d x + \int_{2}^{3} (x - 2) d x = [2 x - \frac{x ^{2}}{2}]_{1}^{2} + [\frac{x ^{2}}{2} - 2 x]_{2}^{3} = \frac{1}{2} + \frac{1}{2} = 1 sq. unit$

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

⏱ 2mℹ️ Source: PYQ_2023

Doubts & Discussion

Loading discussions...