The integral I = ∫ 1 x ⋅ sec ⁡ x - ln ⁡ x sin ⁡ x d x simplifies to (where, c is the constant of integration)

Question

The integral I = ∫ 1 x ⋅ sec ⁡ x - ln ⁡ x sin ⁡ x d x simplifies to (where, c is the constant of integration), ln ⁡ x sin ⁡ x + c, ln ⁡ x cos ⁡ x + c, x ln ⁡ sin ⁡ x + c, x ln ⁡ cos ⁡ x + c

MARKS App · Accepted Answer

Given I = ∫ cos ⁡ x ⋅ 1 x + - sin ⁡ x ln ⁡ x d x Since, ∫ f ⋅ g ' + f ' g d x = f ⋅ g + c ⇒ I = cos ⁡ x ln ⁡ x + c

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