∫ 1 sin ⁡ x . cos 2 ⁡ x d x =

Question

∫ 1 sin ⁡ x . cos 2 ⁡ x d x =, sec x + log ⁡ sec ⁡ x + tan ⁡ x + c, sec x . tan ⁡ x + c, sec x + log ⁡ sec ⁡ x - tan ⁡ x + c, sec x + log ⁡ cosec ⁡ x - cot ⁡ x + c

MARKS App · Accepted Answer

I = ∫ 1 sin x ⋅ cos 2 x I = ∫ sin 2 x + cos 2 x sin x ⋅ cos 2 x d x I = ∫ sin 2 x sin x ⋅ cos 2 x d x + ∫ cos 2 x d x sin x cos 2 x I = ∫ sec x tan x d x + ∫ cosec x d x I = sec x + ln | cosec x − cot x | + c

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