Question

Integrate

$\displaystyle \int \tt{e}^{ - x} \: dx \: for \bigg[0, \infty \bigg]$
​

Answer 1

Answer:

$1$

Step-by-step explanation:

$\red {\huge\int _{0} ^{ \infty } {e}^{ - x} \: dx } \: \\ \\ =- {e}^{ - x} \: 0\: to\: \infty \\ \\ = - ( {e}^{ - \infty } - {e}^{0} ) \\ \\ = - 1 (0 - 1) \\ \\ = 1$

Answer 2

Answer:

$\large \dag$ Question :-

Integrate ,

$\displaystyle \int \tt{e}^{ -x} \: dx \: for \bigg[0, \infty \bigg]$

$\large \dag$ Answer :-

$\sf\tt\large{\red {\underline {\underline{⚘\;The \;value \;of \;the \;given \;integration \;is \;1:}}}}$

$\large \dag$ Solution:-

$\displaystyle \int \:0 \;to \infty \tt{e}^{ -x} \: dx \: for \bigg[0, \infty \bigg]$

which can also be written as,

• $\displaystyle \int \:0 \;to \infty \tt{e}^{ -x} \:dx]$

• $- ( {e}^{ - \infty } - {e}^{0})$

• -1 (0-1)

• =+1.

Hope it helps u mate .

Thank you .