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Integral of (z+2)Sqrt(1-z)dz

Attachment 26683I need to integrate this using u-substitution, integration by parts, and this integral table. I'm having a difficult time getting started. U substitution doesn't seem viable as I can't identify the derivative of any U within the integral. I'm assuming I need to use integration by parts, but internal integration and derivation only seems to provide a more difficult integral. The integral table doesn't seem to have any forms that are relevant to this problem.

Re: Integral of (z+2)Sqrt(1-z)dz

Quote:

Originally Posted by

**bikerboy2442** Attachment 26683I need to integrate this using u-substitution, integration by parts, and

this integral table. I'm having a difficult time getting started. U substitution doesn't seem viable as I can't identify the derivative of any U within the integral. I'm assuming I need to use integration by parts, but internal integration and derivation only seems to provide a more difficult integral. The integral table doesn't seem to have any forms that are relevant to this problem.

First, rewrite this as and then substitute . Also note that if , then . The integral becomes

You should be able to go from here. Note there is no need for Integration by Parts.