Area of the region bounded by the curve $y=e^x, x=0 \, \, \& \, \, y=e$ is

$\int_\limits 1^e \ln (e+1-x) d x$

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

Area of the region bounded by the curve

y=e^x, x=0 \, \, \& \, \, y=e

View answer and explanation

Correct option: D

\int\limits_{1}^e e^y d y

Option D (

\int\limits_{1}^e e^y d y

) is correct because the area can be found by integrating with respect to y, with the limits of integration being the y-values of the region.

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