Question

Integrală din 1pe 2^x

Answer 1

1/2^x=2^(-x)

∫2^(-x)dx=

substitutie

-x=y -dx=dy=> dx=-dy

integrala devine

-∫2^ydy=-2^y*ln2+c

Revii   la   variabila x

-2^yLn2+c=-2^(-x)ln2+c