I'm trying to understand an integration question:
$I = \int 2\cdot e^{x}$, given that $I = 50 \cdot 2$ when $x = 3$
I understand the integration, which is:
$I = \int 2\cdot e^{x} = 2e^{x} + C$
However, the next statement is losing me:
$\therefore 50 \cdot 2 = 2e^{3} + c = 40 \cdot 2 + c$
My calculator is showing $e^{3}$ to be $20.085$ so I'm not clear why $2e^{3}$ is printed in the question as $40 \cdot 2$
Simple explanations will be preferred over more complex explanations.
It would appear that the dots in $50\cdot2$ and $40\cdot2$ are to be interpreted not as multiplication but as decimal points. $2e^3$ is (to one decimal place) $40.2$.