Evaluate: `intx/(sqrt(x+2))dx`

Explanation

`\text { evaluate i) } \int \frac{x}{\sqrt{x+2}} d x`


`I=\int \frac{x}{\sqrt{x+2}} d x`


`\text { let } x=2 \tan ^{2} \theta \Rightarrow \theta=\tan ^{-1}(\frac{\sqrt{x}}{2})`


`d x=2 \cdot 2 \tan \theta \cdot \sec ^{2} \theta \cdot d \theta`


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