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Evaluate the following integrals : (i)...

Evaluate the following integrals :
`(i) int(2(x+16)^((1)/(2))+(x+16)^((3)/(4)))/(x(x+16)^((5)/(4)))dx`
`(ii) int(1+x^((1)/(2))-x^((2)/(3)))/(1+x^((1)/(3)))dx`

Text Solution

AI Generated Solution

Let's evaluate the given integrals step by step. ### Part (i) **Integral to evaluate:** \[ \int \frac{2(x+16)^{\frac{1}{2}} + (x+16)^{\frac{3}{4}}}{x(x+16)^{\frac{5}{4}}} \, dx \] ...
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