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MHT CET2017MathematicsIndefinite Integration

∫ sec 8 ⁡ x cosec ⁡ x d x =

Options

  1. Asec 8 ⁡ x 8 + c
  2. Bsec 7 ⁡ x 7 + c
  3. Csec 6 ⁡ x 6 + c
  4. Dsec 9 ⁡ x 9 + c

Correct answer

B. sec 7 ⁡ x 7 + c

Step-by-step solution

I = ∫ sec 8 x cosec   x d x Let cos ⁡ x = t - s i n x d x = d t I = ∫ - d t t 8 = 1 7 1 t 7 + c = sec 7 ⁡ x 7 + c

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