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Evaluate the following : (i) int(x+2)/...

Evaluate the following :
`(i) int(x+2)/((x+3)(x+4)^((3)/(2))dx` `(ii) int((x+3)/(2x+5))^((1)/(2))*(1)/(x)dx`

Text Solution

AI Generated Solution

To evaluate the given integrals, we will break down each part step by step. ### Part (i): Evaluate the integral \[ I_1 = \int \frac{x + 2}{(x + 3)(x + 4)^{\frac{3}{2}}} \, dx \] **Step 1: Substitution** ...
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