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

Could we try completing the square on the denominator?

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

What do we get if we differentiate \(\tan x\)?

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

Could we try completing the square on the denominator?

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

What do we get if we differentiate \(\tan x\)?