Mathematics - Area Under Curves Question with Solution | TestHub

MathematicsArea Under CurvesArea of Curve along axisMedium2 minPYQ_2023

MathematicsMediumsingle choice

The area enclosed between the curve $y = lo g_{e} (x + e)$ and the coordinate axes is

Options:

Answer:

Solution:

Required area $A = \int_{1 - e}^{0} y d x = \int_{1 - e}^{0} lo g_{e} (x + e) d x$
put $x + e = t \Rightarrow d x = d t$ also when $x = 1 - e, t =$ 1 and when $x = 0, t = e$
$∴ A = \int_{1}^{e} lo g_{e} t d t = [t lo g_{e} t - t]_{1}^{e}$
$e - e - 0 + 1 = 1$

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

⏱ 2mℹ️ Source: PYQ_2023

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