We could let `u=x` or `u=sqrt(x+1)`.
Once again, we choose the one that allows `(du)/(dx)` to be of a simpler form than `u`, so we choose `u=x`.
Therefore `du = dx`. With this choice, `dv` must be the "rest" of the integral: `dv=sqrt(x+1)\ dx`.
`u = x` so `du=dx`.
`dv=sqrt(x+1)\ dx`, and integrating gives:
Substituting into the integration by parts formula, we get:
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