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Integrate the function
$e^x(\sin x+\cos x)$
$e^x(\sin x+\cos x)$
Solution:
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Verified Answer
Put $e^x \sin x=t \Rightarrow e^x(\sin x+\cos x) d x=d t$
$\begin{aligned}
&\therefore \int e^x(\sin x+\cos x) d x=\int d t=t+C \\
&=e^x \sin x+C
\end{aligned}$
$\begin{aligned}
&\therefore \int e^x(\sin x+\cos x) d x=\int d t=t+C \\
&=e^x \sin x+C
\end{aligned}$
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