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:
