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Evaluate : (i) int(dx)/(1+sqrt(x)) (ii...

Evaluate :
(i) `int(dx)/(1+sqrt(x))` (ii) `int(x+sqrt(x+1))/(x+2)dx`

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Let's evaluate the given integrals step by step. ### Part (i): Evaluate \(\int \frac{dx}{1 + \sqrt{x}}\) **Step 1: Substitution** Let \( t = \sqrt{x} \). Then, \( x = t^2 \) and \( dx = 2t \, dt \). **Step 2: Substitute in the integral** ...
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