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MHT CET2018MathematicsIndefinite Integration

∫ e x 2 + sin ⁡ 2 x 1 + cos ⁡ 2 x d x =

Options

  1. Ae x tan ⁡ x + C
  2. Be x + tan ⁡ x + C
  3. C2 e x tan ⁡ x + C
  4. De x tan ⁡ 2 x + C

Correct answer

A. e x tan ⁡ x + C

Step-by-step solution

I = ∫ e x ( 2 + 2 sin x cos x 2 cos 2 x ) d x I = ∫ e x ( tan x + sec 2 x ) d x I = e x tan x + C ∵ ∫ e x f x + f ′ x dx = e x · f + C

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