Area of the region bounded by the curve $y=e^x$ and lines $x=0$ and $y=e$ is

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Aicharya · Accepted Answer

Shaded area $=e-\left(\int_0^1 e^x d xight)=1$ Also, $\quad \int_1^e \ln (e+1-y) d y$ $ \begin{aligned} & =\int_e^q \ln t(-d t) \ & 	ext { [put } e+1-y=t \Rightarrow-d y=d t 	ext { ] } \ & =\int_1^e \ln t d t=\int_1^e \ln y d y=1 \end{aligned} $

Area of the region bounded by the curve $y=e^x$ and lines $x=0$ and $y=e$ is

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