Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$\displaystyle\int{ \frac{ x+2 }{ ( { x }^{ 2 } +3x+3) \sqrt{ x+1 } } }d x$$

Answer

$$(x^2*d*(x/2+2))/((x^2+3*x+3)*sqrt(x+1))$$

Solution


Use Power Rule: \(\int {x}^{n} \, dx=\frac{{x}^{n+1}}{n+1}+C\).
\[\frac{{x}^{2}d(\frac{x}{2}+2)}{({x}^{2}+3x+3)\sqrt{x+1}}\]
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