I have this integral to evaluate: $\int e^{x}(1-e^x)(1+e^x)^{10} dx$
I figured to use u substitution for the part that is raised to the tenth power. After doing this the $e^x$ is canceled out.
I am not sure where to go from here however due to the $(1-e^x)$.
Is it possible to move it to the outside like this and continue from here with evaluating the integral?
$(1-e^x)\int u^{10} du$