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Integrate the functions xsqrt(x+2)...

Integrate the functions `xsqrt(x+2)`

Text Solution

Verified by Experts

Let ` ∫x*sqrt(x+2) ​dx`
put` x+2=t⇒x=t−2`
`∫(t−2)*sqrt(t) ​(dt)`
=`∫(t)^(3/2)−(2t)^(1/2)dt`
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