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Question Number 966 by rpatle69@gmail.com last updated on 09/May/15

∫e^(−x)  dx=? please answer me soon guys

$$\int{e}^{−{x}} \:{dx}=?\:{please}\:{answer}\:{me}\:{soon}\:{guys} \\ $$$$ \\ $$$$ \\ $$

Answered by prakash jain last updated on 09/May/15

−x=u⇒−dx=du  ∫ e^(−x) dx=−∫e^u du=−e^u +C=−e^(−x) +C

$$−{x}={u}\Rightarrow−{dx}={du} \\ $$$$\int\:{e}^{−{x}} {dx}=−\int{e}^{{u}} {du}=−{e}^{{u}} +{C}=−{e}^{−{x}} +{C} \\ $$

Commented by rpatle69@gmail.com last updated on 09/May/15

thanks

$${thanks} \\ $$

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