How can I find the integral $$\int \frac1{2 + \sqrt{x + 1}} dx$$
2026-04-03 10:20:38.1775211638
How can I evaluate $\int \frac1{2 + \sqrt{x + 1}} dx$?
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Let $x=t^2-1$ so that $dx=2t\,dt$. Then,
$$\int \frac1{2+\sqrt{x+1}}\,dx \overbrace{=}^{x=t^2-1}\int \frac{2t}{2+t}\,dt$$
Can you finish now?