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I've got an integral like below $\int \frac{\mathrm{d}x}{2 + \sqrt{x}}.$

I use a substitution like this $t = 2 + \sqrt{x}$, but an answer looks a bit different. What do you suggest?

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    @user12465: When you solve$d$ a $p$roblem and the solution seems right, sto$p$ questioning your solution just because the solution in your textbook is slightly different. Try and understand your solution well enough not to doubt it.2011-06-23

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The term $4$ in your answer is a constant and therefore can/should be incorporated into the constant of integration $C$.