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MHT CET20192 May 2019Morning ShiftMathematicsIndefinite IntegrationActual

∫ cos ⁡ x + x sin ⁡ x x 2 + x cos ⁡ x d x = ________

Options

  1. Alog ⁡ x sin ⁡ x x + cos ⁡ x + c
  2. Blog ⁡ x x + cos ⁡ x + c
  3. Clog ⁡ cos ⁡ x + x sin ⁡ x + c
  4. Dlog ⁡ x 2 + x cos ⁡ x + c

Correct answer

B. log ⁡ x x + cos ⁡ x + c

Step-by-step solution

Let, I = ∫ c o s x + s i n x x 2 + x c o s x = ∫ x + c o s x + x s i n x - 1 x x + c o s x d x = ∫ 1 x + s i n x - 1 x + c o s x d x l n x - l n x + c o s x + c = l n x x + c o s x - c

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