Mathematics - Area Under Curves Question with Solution | TestHub

MathematicsArea Under CurvesArea bounded by two curvesMedium2 minPYQ_2019

MathematicsMediumsingle choice

The area (in sq. units) of the region bounded by the parabola, $y = x^{2} + 2$ and the lines, $y = x + 1, x = 0$ and $x = 3$ , is

Answer:

Solution:

Area of region $A B C D A = \int_{0}^{3} [(x^{2} + 2) - (x + 1)] d x$

$= \int_{0}^{3} (x^{2} - x + 1) d x = {[\frac{x^{3}}{3} - \frac{x^{2}}{2} + x]}_{0}^{3}$

$= \frac{27}{3} - \frac{9}{2} + 3$

$= 12 - \frac{9}{2} = \frac{15}{2}$

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

⏱ 2mℹ️ Source: PYQ_2019

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