Question

Evaluate the improper integral e^x with limits 0 and -ve infinity.

Answer 1

\[\int\limits_{-\Pi}^{0}e^x dx\]

Answer 2

1

Answer 3

well the anti-derivative of e^x is e^x
then evaluate from -inf to 0 \[= e^{0} - e^{-\infty} = 1 - 0 = 1\]

Answer 4

\[e^{-\infty} = \frac{1}{e^{\infty}} = \frac{1}{\infty} = 0\]

Answer 5

Thanks!!

Answer 6

no problem