cos-x-dx-

Question Number 88494 by I want to learn more last updated on 11/Apr/20

\int \sqrt{\cos (x)} dx

Commented by Tony Lin last updated on 11/Apr/20

\int \sqrt{c o s x} d x

= \int \sqrt{1 - 2 {s i n}^{2} \frac{x}{2}} d x

l e t u = \frac{x}{2}, 2 d u = d x

2 \int \sqrt{1 - 2 {s i n}^{2} u} d u

= 2 E (u ∣ 2) + c

= 2 E (\frac{x}{2} ∣ 2) + c

Commented by I want to learn more last updated on 11/Apr/20

God bless you sir