NDA 2024 Maths · Mathematics · Application of Integrals · medium

The area of the region bounded by the curve y=e^x, the x-axis and the lines x=0 and x=ln 3 is

Single correct option

The area of the region bounded by the curve

y=e^x

, the

x

-axis and the lines

x=0

and

x=\ln3

Show answer and solution

Answer: (C) $2$ square units

Area

=\int_0^{\ln3}e^xdx=e^{\ln3}-e^0=3-1=2

. Trap: 3 is the upper-limit value

e^{\ln3}

without subtracting the lower limit value 1, and

\ln3

is the width of the interval, not the area.

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