∫ sin α 1 + cos α d α =

Question

&#8747; sin &#945; 1 + cos &#945; d &#945; =

Aicharya · Accepted Answer

&#8747; sin &#945; 1 + cos &#945; d &#945; Rationalize = &#8747; sin &#945; 1 - cos &#945; 1 - cos 2 &#945; d &#945; = &#8747; 1 - cos &#945; d &#945; Using cos 2 x = 1 - 2 sin 2 x , we get = &#8747; 1 - 1 - 2 sin 2 &#945; 2 d &#945; = 2 &#8747; sin &#945; 2 d &#945; = - 2 2 cos &#945; 2 + c

&#8747; sin &#945; 1 + cos &#945; d &#945; =

Solution

∫ sin α 1 + cos α d α =