Answer
$$\int e^{x+e^{x}}dx=e^{e^{x}}+C$$
Work Step by Step
$$\int e^{x+e^{x}}dx=\int e^{x}e^{e^{x}}dx=\int e^{e^{x}}d(e^{x})$$
$$=e^{e^{x}}+C$$
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