Evaluate the following integrals :
(i) `int x^(15)dx` (ii) `int x^(-3//2)dx` (iii) `int(3x^(-7)+x^(-1))dx`
(iv) `int(sqrt(x)+(1)/sqrt(x))^(2)dx` (v) `int(x+(1)/(x))dx` (vi) `int((a)/(x^(2))+(b)/(x))dx` (a and b are constant)

Explanation

To evaluate the given integrals, we will use the basic integration formula:

\[ \int x^n \, dx = \frac{x^{n+1}}{n+1} + C \quad (n \neq -1) \]

where \( C \) is the constant of integration.

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