Solve this following

Question:

Evaluate:

i. $\int\left(x^{2}-\frac{1}{x^{2}}\right)^{3} d x$

ii. $\int\left(\sqrt{x}-\frac{1}{\sqrt{x}}\right) d x$

iii. $\int\left(\sqrt{x}+\frac{1}{\sqrt{x}}\right)^{2} d x$

iv. $\int \frac{(1+2 x)^{3}}{x^{4}} d x$

v. $\int \frac{(1+x)^{3}}{\sqrt{x}} d x$

vi. $\int \frac{2 x^{2}+x-2}{(x-2)} d x$

Solution:

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