- Find

- \(\displaystyle \int x \sqrt{2x-1} \:dx\),
- \(\displaystyle \int \frac{1}{\sqrt{2x - x^2}} \:dx\).

- Evaluate \(\displaystyle \int_0^{\pi/4} \sec^4 x \:dx\).

- Find

- \(\displaystyle \int x \sqrt{2x-1} \:dx\),
- \(\displaystyle \int \frac{1}{\sqrt{2x - x^2}} \:dx\).

- Evaluate \(\displaystyle \int_0^{\pi/4} \sec^4 x \:dx\).