Question

u substitution, anti derivative of
(x+1)(2-x)^1/2 dx

Answer 1

Put \(u=2-x\).

Answer 2

i know that

Answer 3

The rest is easy. \(u=2-x \implies x=2-u \implies dx=-du\), then the integral becomes
\[\int (2-u+1)u^{\frac{1}{2}} (-du)=\int (-3u^{\frac{1}{2}}+u^{\frac{3}{2}})du=\cdots\]

Answer 4

I know whatI did wrong, my dx was was wrong since I had du/1 when it should of been over -1